# How to Solve Quadratic Equations by Factoring (NancyPi)

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Published on May 15, 2018 by

MIT grad shows how to solve any quadratic equation by factoring. To skip to the shortcut trick, go to time 6:11. Nancy formerly of MathBFF explains the steps.

The shortcut trick ("The Magic X") helps you factor any tough quadratic that doesn't begin with x^2 but instead begins w/ 2x^2 or 3x^2, or 4x^2, etc, so you can then solve.

1) IF QUADRATIC STARTS WITH X^2: It's faster to use the normal method for factoring in this case: trial and error. Ex: x^2 + 4x - 12. Find 2 numbers that multiply to the last number, -12, AND that add to the second coefficient, positive 4. First make a list of all pairs of #s that multiply to -12. Then check which pair also adds to 4. Write factors & solve by setting each = 0. Solve for x.

2) IF QUADRATIC STARTS WITH 2X^2 OR 3X^2 OR 4X^2, ETC:
A) First check if leading coefficient (2 or 3 or 4, etc) is an overall constant you can factor out of every term. If it is, factor it out first, then use Method #1 above to factor the X^2 expression that's left. Set factors = 0 & solve.
B) If a constant can't be factored out evenly from every term, it'll be faster & easier to use shortcut "magic X" method instead of Method #1. See it explained at time 6:11 in video. Set factors = 0 & solve.

For more of my math videos, check out: http://nancypi.com

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• Nancy!

• I’m fourth …
Nice way of explaining Nancy . Helped a lot when I was a kid .. lol

• Thanks for starting to upload a lot of them together. Are you ok though? In the videos for some reason you look like you are ill or maybe it’s just me?

• Skyler B I was just worried as she looked pale compare to videos I had seen her in. That’s good to know!

• Scooby Doku naruto is better than saskue

• Y C Maybe but sasuke is cooler ๐

• it is ur opinion but I never got how someone can like saskue he is so arrogant, btw do you watch boruto?

• Y C Yep

• Thank you very much. Greetings from Colombia!!!

• Hahahah you are the guardian angel of finals week.

• @moaiad alsinawi i see what you did there xD

• ikolatasii dsdd – did you do good

• Can I be her sidekick? She inspired me to make videos as well

• Trap I donโt think sidekick is the right word, what would be the right word ๐ค

• facts

• How write ??? I don’t understand hahahaha

• I have done these over and over again due to my learning style. The X method is much easier for the difficult quadratic equations. Good Luck!

• Can you go over some trig for me law of sin cos tan i miss your old video’s

• Keep going, your fans/students still love your dedication ๐. Btw, I’m all the way from Jamaica.

• ๐

• Me too

• Awesome bro I’m from the US ๐ฅ

• Can you do a linear algebra series ?

• Nancy ๐

• Clusterfuck

• You’re back!!!

• Thank you!

• I dont even take any math class and i still like this videos its nice to brush up some skills

• back in the day i had a hard time doing them the right way around….now she’s doing them inverted!??! mind blown

• Nomon Munir she just mirror it after writing through the glass

• Glad to see you’re back to uploading again ๐ I remember watching this a couple of years back, ahh the nostalgia XD

• Tanks miss
Tanks teacher
Saludos desde Ecuador gracias por las clases

• Andy Moposa ๐ช๐จ๐ช๐จ๐ช๐จ

• Thanks miss

• Glad you were able to get all your old videos back! I hope to see you continue to with new content!!

• I could not solve this one using this method, (9r^2-6r+1) =0

• N.A.N.C.Y

• good video

• Good job!

• How do you know when to use the AC method?

• I am still with you Nancy. I have and will continue to share NancyPi with students.

• Thank you, Robin

• Thanks, and so pretty..

• i clicked on the wrong link. thought this was minecraft lol Xd

• Thank you for making these videos, they are incredibly helpful! I’m studying for the GRE and I haven’t done this kind of math in probably about 6 years. You are really good at teaching and any student would be lucky to have you!

• blackpenpinkpen โก

• I love your math stuff! Thank you so much Nancy! I recommend your videos to all my friends

• The whole time i’m baffled about her writhing math switch backwards so we could under stand it on our side of the glass.. thank you for your many talents.

• BrazeyMatic … Oh. I see now. Prob the same reasons my mathematics skills are poor.

• this chick talks so slowly

• madalite and helps soo many

• i love the way you teach.

• what happened to mathbff

• That is nice

• You’re a star Nancy

• ka gwapa mo dzaiโคโคโค

• The video is actually reversed positioned. So if the editing was not performed, the writings wouldโve been backwards

• You saved me once again, thanks!

• what if the formula are all on numbers with 0

• You’ve made this so simple to understand. Thanks

• Thank youuu so muchhh!!! โค๏ธโค๏ธโค๏ธ

• Exactly as I was taught in school .. back in 1977-78! Thanks Nancy for reviving memories..

• I’m in high school…. My goal graduate in 2022 (I’m 14)

• Iโm in 6th grade ๐

• THIS IS SO HELPFUL THANK YOU ๐๐ผ

• Before I played this video the ad was apink’s new song or mv ๐

• OMG you kinda sound like Nancy from Momoland xD

• You are very hot ๐ฅ๐

• If you can’t even figure out how she’s writing for us to see, you shouldn’t watch this. Go watch Keepin’ up wit da Kardashians, idiot.

• *with *the…. idiot

• Nancy Binay

• How do you write backwards

• Why didnโt she finish at 6:06?

• I do not ever recall being taught your “X” factor trick Nancy! TYVM ๐

• This helped me more than Khan Academy. Thank you.

• Sam Church who is Sal?

• @Warren Kirkpatrick “sal khan” or salman khan is the founder of khan academy.

• @rin k and hes the shit

• cap

• don’t mess with khan academy bois

• thank you! ๐

• Hi

• what if it has a leading co efficient?

• You are a math princess long may you reign!

• I didn’t get, how do you solve for x in the second example, when you’ve got that factor of 2 on the left, it has to go somewhere apparently ?

• that one was supposed to be explained further

• i think that’s just how you would write down the answer because if you plug in the original equation into math papa, that’s the same final answer the calculator gives you

• AAAAA THANK YOU SO MUCH!!!!
i was so stuck on what to do when there a number in front of the x2.
thank you!!!

• Smart ass females in many level but fuck I still donโt get it. ๐

• the big X technique is wrong because if x= 1/3 and the problem is 3x(squared)+14x-5=0 if you change the x for 1/3 you would get 1+14-5=0?????????

• Can we use the 3rd method to solve the 2nd question ?

• Can you help me with
xโด+xยฒ+4x-3=0

• Nancy, youโre my hero

• thanks for the help

• Wow!! SO Clear simple… J’aime <3

• Thankyou for the video

• Put a space between thank and you.

• To watch the a coefficient “3” at 6:36

• good work #Tajamulsir. dear i need the pdf book of class 10th math which you taught.

• thanks beautiful

• I watch all your videos. I love your work. Love the Magic-X, it saves me tons of time, but realized it will not work on some equations. Example, cannot use it on (p^3+2p^2q-24pq^2). Itโs just something to remember during the exam.

• Thanks, you actually showed me what to do, unlike Sal of Khan Academy!

• What are you talking about, khan academy is really good. You must have watched the wrong video. Just think about it, its khan acedmy

• Thank you so much

• I think, out of all the maths channels, NancyPi is by far the best! She talks through it step by step which allows you to actually keep up and understand it. Most maths channels dive straight in, go far too fast and don’t talk through it step by step.

Keep up the good work!

• Cool

• I’m Indian thanks

• Thank youuuu guuuurl you helped me so bad!

• Hi, Thank you for your great videos
4p^2-q^2+2p+q

• TYSM

• hey fancy nancy, helped me lots!! thanks for this videos

• very nice

• Omg you are so fucking hot/helpful

• thank you nancy

• Your videos are amazing. Easy to follow through. They are helping me a lot to review factoring for college algebra.

• Could not figure out how to do 3n^2 + n – 2 =0

• This Video was really helpful. Keep Up the Good Work๐

• wait hold up fam, youre writing backwards?!? bloody hell is there anything u cant do?

• You’re

• Can’t

• And you

• Nancy, you are the best.

• Fr tho.

• Life Saver, Thank you so much

• tthanks for the help nancy

• Only one T in thanks.

• i was very nice .it was so helpful thank you

• Babe help will it affect me if I’m writing it back Ward’s n my test help plzzz cuse I’m doing it the way Im watching and plzz write out every step to other then that your good???

• we have a trick called “tic tac” so it’s basically like tic tac toe and it’s really fun to do. you should do a tutorial for that next time :).

• How tf you write backwards so good

• Wow, she is really good at writing backwards

• This is really great! I have viewed so many videos trying to find an easier way and I thank goodness that I found this video! thank you so much!

• Crystal Crystal bi weekly

• Crystal Crystal once month

• Kiwisser

• Still confused on how she is writing backwards or something

• Beatufful teacher’s

• Spelled beautiful wrong

• U are osm

• What?!

• pliz come we exchange wit our math lecturer

• Get a DICTIONARY!!!!!!

• thanks for the trick nancy

• thank you

• Nice

• Really important to understand this especially the one with coefficient in front of x squared cuz I forgot how to do that and lost many marks in future calc courses. Easy to understand but u gotta make sure you dont forget it

• Great video. Easy to follow. Thank you.

• You are a gift to the world

• How r u writing??

• *are *you

• You are literally a college angel

• After two days of frustration, you saved me. I couldn’t understand how the teacher was getting her answers and the books not really making it too clear. You are amazing!!! Thank you!!!!

• using that X method, you are a genius. Never knew you could do it that way….thank you!

• I need to learn algebra 1 all over again and I have 7 days to do so. THANK U

• *you

• Thank you!!

• thanks, very well explained and clear.

• Thans a million teacher!!!

• Thanks for your help ๐

• Yes, it does help although I think from a cognitive Psychology point of view there are a few too many different things to remember. However the ‘MAGIC X’ does CHUNK the info. together in accordance with the basic premise and principle of ‘CAPACITY AND CHUNKING’ which usually is fairly applicable in most areas of memory usage or RAM(STM) in everyday life.
I’m mot meaning to be critical though but you may have overlooked certain things from a teaching point of view (PERHAPS).

This particular equation can actually be solved by removing the x’ S altogether and combining it with the presumption that you are working in base 10 numbers.
So, the ANALOGY if you were ,say, a mathematical artist would be that you make use of a circle then multiply 3 by neg.5 equalling 15. Then step 2 would be to go backwards using your end point which is neg.5 or even 5 if you swap the number from either side of the equals sign and you then multiply 14 by neg.5 which gives you neg.75.
The next step is to make the connection between your first operation which was 3 multiplied by neg.5 (keep in mind that this is your answer and can either be your lock or key depending on how you think about it.
Ok, now you have subtracted one answer from the other you have your lock and key. The key being the answer which is neg.5 and the lock being the number configuration. Sorry I meant the other way about with the lock and key ANALOGY.
Now you have x =5.
Now, I hear you ask ok smart arsed what about c=1/3 mmm good question !!!
Again the basics are that we are working in base 10 and not Binary or some shit like that. So, where do we get 1/3 from?

Next step: Take you middle number which is 14x and this time apply the mirror image concept or the reverse lock and key concept (BTW, these concepts are my own inventions thank you!) oh, ye and they mean pretty much the same thing at an appropriate level.
So, this time INSTEAD of MULTIPLYING your two numbers together you DIVIDE
(MIRROR IMAGE OPERATION TO MULTIPLY OR LOCK AND KEY REVERSIBILITY THEORY)
them.
Next step: 14 รท by The main constant which is 3.
So, what is 14/3 ; well, it is 4.6666R or 4 and 2/3.

mmm so what I hear you ask….
We can see that it is almost 5 but not quite because you have to take away 1/3 to get your answer.
Finally, from the functional aspect of this equation you know have two answers for x without even using them. You have x = 1/3 and x =5.
Few….that took a while….

Now, plz allow me to elaborate and use PHILOSOPHY or just plane ANALOGY as I did before.

Do you REMEMBER me using the circle as a starting point which could be easy for visual thinkers to think about and be able to mix Geometrical calculations with algebraic calculation.
ok, what is a FACTOR? A FACTOR is a part of something … anything really but in this case a CIRCLE.
SO, Let’s think a bit more about the circle…. Try to IMAGINE the circle has 100 degrees rather than 360 degrees. This way you can DIVIDE it up more easily. OK, Do, remember you SUBTRACTED NEG. 75 FROM POSITIVE 70 and you cane out with one of your results which was x=5 right? ye, it’s right so bare WITH me.
By taking 75 out of 100 parts of the circle away you are left with 25 parts.
mm confusing right?
NOPE, it’s not …. !

Look back at the original equation which was 3x^+ 14x -5 = 0

Now, remember there is one thing I have not yet EXPLAINED COZ I’M A CRAZY INSOMNIAC with PRETTY BAD ADD and my AT AN capacitor hardware leaks pretty fast.
(electronic computer science

being used here as an ANALOGY of my thinking) .
APOLOGIES, WELL KINDA…

So, where do you get one third of a CIRCLE from?

sTake another close look at the EQUATION : 3X^ +14x -5 =0

EARLIER , I FORGOT TO INCLUDE SOMETHING TO THE POWER OF 2 AND IN THE ORIGINAL EQUATION X IS SQUARED OR X MULTIPLIED BY X.
NOW I have pretty arrogantly claimed – FUCK using the x’ s tighter
yeh, I have.. thanks ur honour
objection over rules on grounds of as yet unsubmitted evidence.

It is common in algebraic MATH…. SSSSSSSSS (I’M English so I don’t know why the Americans use the annoying word MATH which is physically more difficult to say … Try it out if you don’t believe me..

THANKS!!!!!!!!

Sorry, tiredness and ADD getting the better of me now….
Oh ye, rearrange your SQUARED x and place it on the 3. NOW you get 3 x3 or 3 SQUARED.
So, now you’re EQUATION becomes : 9+14 -5=20

PRETTY SIMILAR TO 25 PARTS OUT OF A HUNDRED RIGHT EHICH IS ANALOGOUS TO X=5

WE WRONG !

ok, think of it this way, 14 รท3 = 4 and 2/3 WHICH means you have x = 1/3
Apply this now to the circle……

14 +9 -5 =20 parts in 100 which is a fraction that can be reduced to 1/5 and if you look at a CIRCLE you have used 70 degrees and for visual purposes this is 9
MULTIPLIED BY 5 + x ^ (25 degrees)

IF YOU KNOW THAT A CIRCLE IS 36P DEGREES AND YOU TAKE OUT 45+25 DEGREES WHICH IS EQUAL TO 70 DEGREES THEN YOU KNOW THAT X CAN ONLY BE 360 DEGREES MINUS 70 DEGREES WICH IS 5 TIMES LESS EHICH AGAIN MEANS X IS EQUAL TO 5.

APPLY THIS TO A CLOCK AND TIME : LET’S START AT 12 O’CLOCK … 70 DEGREES OF THE CLOCK CIRCLE EILL MAKE IT 12.15 pm or AM . WORK BACKWARDS NOW FROM 1PM/AM SO, YOU GET 12.45 PM/AM . Therefore, in this case your missing part or FACTOR can only be 25% of the circle/ 70 degrees of the circle/15 minutes ; or MORE IMPORTANTLY X=5.

Ok, but if you’re still reading this you are still waiting for me to explain x=1/3 and how this relates to a circle/time/ or degrees of a CIRCLE.
IF YOU DO the following calculation applied to a time CLOCK you get: 12pm/AM + 17.5 MINUTES multiplied by
4 it will take you to 70 MINUTES past 12 or Maybe I should say 10 past 1 O’CLOCK
Now ,I’m sure we all realize that we have exceeded the clock circle by you guessed it … YUP … 60 DEGREES clockwise

So if 60 degrees is 2/3 times LESS Time on the clock face than what we had before which was 12pm/am to 12.15 pm or AM
Another way to calculate this is to say 90 degrees past 12 p.m. or AM is 12.15 and is 90 degrees as OPPOSED TO 60 degrees which is equivalent to 12.10 pm or AM….

ok, so , now you have a visual picture of what is roughly going on so I WILL throw in another calculation for you….
10/15 can be simplified to 2/3 as a fraction

Let’s go back ack to just a plain CIRCLE ….. . If we already know that a CIRCLE is 360 DEGREES THEN we know that to get from 12 O’CLOCK to 10 MINUTES MULTIPLIED BY 6 MINUTES to get to you’re previously given time of 1 O’CLOCK!

NOW LET US IMAGINE that instead of 90 degrees of the circle coloured in by say a BLUE pelt top pen or whatever we now have only 60 degrees coloured in which is exactly 1/5 if the circle… mmmm interesting right?!

Ok, now let’s convert the DEGREES OF THE CIRCLE, THE TIME IN MINUTES IN THE CLOCK AND THE ACTUAL EQUATION ITSELF AND COMPARE THEM :
With the time let’s substitute in the EQUATION numbers or should I say FACTORS ?…. ..
x=5 is the same as 15 MINUTES past 12 if you are trying to work out the DIFFERENCE BETWEEN 12.15 AND 1.00 WHEN IT IS ALREADY 1.45….
12.17.5 MINUTES is the same as x = 1/3 if you already see that the 2nd time you look at the clock it is 1 hour and 10 minutes PAST 1 O’CLOCK…
REMEMBER THAT A TIME CLICK OR LET’S SAY KITCHEN CLICK IS DUVIDED UP INTO EVEN NUMBERS TOTALLING 12 SO WGEN YOU SEE 1/4 PAST 12 OR 12.15 MINUTES ON THE CLOCK THAT THIS CAN BE CONVERTED INTO 25 WHEN YOU ARE DEALING WITH GROUPS OF 1OS UP TO A 100. SO, 15 PAST 12 ON THE KITCHEN CLOCK REALLY MEANS 25 % IF WE ARE DEALING WITH NUMBERS ON A USUAL BASIS…
LET’S GO TO DEGREES 90 DEGRRES ON THE CLOCK IS 15 MINUTES BUT WHEN YOU CALCULATE NUMBERS MOST OFTEN IN BASE 10 IT ALSO BECOMES 25 %

NOW LET’S RETURN BACK TO THE EQUATION APPLYING LOCK AND KEY REVERSIBILITY THEORY (MY OWN THEORY AND YE I KNOW I MENTION IT AGAIN IN CASE SOME CHEEKY FUCKER TAKES IT OFF ME; I HAVE LAWYERS YO BIATCHES!)

OK LET’S START AGAIN ON THE PREMISE OF 100….
OUR EQUATION IS 14 +3 = 17

ON THE CLOCK THIS IS 17.5 MINS
Why ? BECAUSE 0.5 is 1/5 of 2.5 MINUTES WHICH after the clock has gone round 4 more lots of 17.5 MINS leads you to 10 past 1 O’CLOCK

That means that 10 pat 1 is two thirds too much or 4 times the MINUTES after the given hour or 360 Degrees.

But remember a kitchen clock works in 12s not the usual units ,tens etc if base 10

now, 14+3 = 17 and remember that 3 is our main constant in this equation… So, 3+14 +5 if you flip the neg 5 FROM one side of the equals sign to the other you get 0 which is 1 O’CLOCK or 360 Degrees but…

REMEMBER THAT 100 -14- 9 REMEMBER IT IS 9 NOT 3 BECAUSE YOU HAVE REARRANGED THE SQUARE NUMBER FROM THE X ONTO THE 3 (3 MULTIPLIED BY 3 =9) or to REARRANGE IT ANOTHER WAY 100 -(9 -14 =5) AND THAT CAN BE CONVERTED BACK TO 3 ^ +14 = 5 … NOW THROW IN X = 5 , SO 3 X 5 = 15 + 14 X 5 = 70 , 15 + 70 =85

CHECK 3+14 = 5 Uh , no it
doesn’t … BUT it does if you add
3 MULTIPLIED BY -5 =15 +85 from the value of x^ +x MULTIPLIED by 14

Then x=5

x= 1/3 IF YOU DO 14+15 =29 ร5 = 147 MULTIPLIED BY X =1/3

• @Dylan Quintal I was probably quite spaced out but it is true that you don’t need the xs

• Saved my LIFE! Thank you!

• thank you so murch for your lecture.

• You are a god amongst men ……bless you ..

• Thx ma’am.

• How would I use this in the real world?

• trialnterror Become a Math Teacher ๐

• Nancy I love u

• Definitely helps, thank you!

• Thank u Nancy and GOd bless you. But can I apply this method to all quadratic equations or there are some that I can’t do this way? Thank you

• You are the best!Thanks!

• Very good

• What if (7x+9)^2=64

• Set: 7x+9 = 8

And solve for x.

7x=-1
x=-1/7

• You also have to solve this equation, since it is quadratic, that would mean you will have 2 solutions.

7x+9=-8

7x=-17
x=-17/7

..

• PLEASE WAHT IS WAY I CAN WRITE IN BACKGROUD. PLEASE EXPLAING THE WAYS IN THE VEDIO

• WHAT THE HELL DID YOU JUST SAY!?!?!?!?!? GET A DICTIONARY

• Wow… 27 years out of school and this FINALLY makes sense! It didn’t help me any that my instructor didn’t speak English very well. When being taught the art of solving “quadratic equations”, we were all just staring, glassy-eyed at the board while our instructor droned on about “quad-e-reddic eck-wishuns”. Thanks for making this look easy.

• Thanks for the shortcut time stamp

• she reminds me of the girl from Get Out, who else

• Beauty with brain๐๐

• Very good Nancy. You take your time and put it over very well making it easy to pick up.

• You explained this better than my teacher. >_< Thank you so much!!! ๐โจ

• You are so beautiful
Blonde hair with caramel highlights would look good on you

• Chandeep kaur Labana sir this is a math video

• @Dhara Stover firstly I am not sir…….I am a 15 year old girl
Secondly,I am just giving a suggestion and I don’t want strangers to blabber and yap away unnecessarily

• You are a genius!

• Nacy you have a real gift in making math comprehensible to plodders like mysef. Thank you some much for these videos.

• You probably saved me from writing a lot of pages doing ฮ=ฮฒ^2-4ฮฑฮณ

• So if you take the negative of the 2 results from your x diagram, will it always equal the answer?

• I can accept the writing backward. How is she writing on my smartphone screen? ๐

• How you write in front of me

• Is it a rules that the 2 wanted numbers to multiply, at the beginning, are to add with second number and multiply with the last one?

• Awesome this one trick work :)) Thanks

• You are amazing! I think I am prepared for my midterm now. Thanks to you!

• Sei proprio bella.

• You have got me all the way o Business Calculus. Keep the new videos coming!!! Remember “Business Calculus” ๐ You are GREAT

• thanks a lot

• The magic X doesn’t work for 7x^2+7x-8

• pretty sure it only works with whole integer factors. you’re gonna have to use the quadratic formula on that one

• @Juan Serna awesome. Thanks heaps i was freaking out haha

• Very informative, but your beauty is rather distracting.

• MegaSquiff ok so what is she supposed to do? Put a bag over her head? Leave her face at home when she makes these videos? Learn math from someone else then and keep these gross comments to yourself

• @Dhara Stover Calm down it is a joke. You sound low-key jealous.

• super hero…

• Really u r so great

• Thanks Nancy, that X method really helped.

• But what if there is a 12 or any other number in the place of the zero(0)?? How do we do it??

Im really bad in this chapter๐

• You make it equal zero. For example, if using, say, 2x^2+3x-2=12, you rearrange it to make it equal zero, so that would be 2x^2+3x-14=0, and solve from there.

• @Frank Shrimpton Thanks bro๐

• It helped me so much…now I’ll watch it 5-6 more times and try to do one… lol

• if only i had a maths teacher like you…

• Thank you for you help. You did a great job explaining it.

• This helped sm!โค

• Great nancypi

• That is amazing, thank you Nancy

• thanks!!!!

• you make it seem easy

• Greeting while struggling from Switzerland ๐

• Thanks

• Hi, I got a different answer when I factored the 2xsquared + 12x -32. I used the X method. After a x c and the middle term I ended up with -4 & +16.I pulled out the2x(ร-2)I pulled out +16(ร-2) I ended up with (ร-2)&(2ร+16) after grouping. And when I foil it I end up with the original problem of 2xsquared +12x -32. Thank you for teaching. You’re very intelligent.

• Marry me pls

• Hey i like the your videos but can you move your hair i canโt see anything ๐๐ฉ

• Thank you so much

• Wow! You helped me cross a major road block… Thank you soo much.

• Beautiful math.

• Pleased with you Nancy pi

• Thanks for the magic X trick!
I’m a big ball of stress and can’t get factoring right — this just saves my butt!

• You saved my life!!! Gracias

• Your explanation is easy to understand thank you a lot

• I have been unable to understand this lesson for months despite having two teachers explain it to me several times, but only 3 minutes into the video, I had understood what I could not understand for months in just one second. You are a GENIUS. Thank you so much, love from Egypt.

• Sorry dude๐๐

• Don’t you mean gril

• ARE YOU A PHAROAH

• You have no idea how you save me tbh! All the way from Brazil ๐

• How you writing backwards

• I liked this video

• i need this but with fractions for my exams tommorow morning

• Thank you maโam, you may have just saved my midterm tmr

• I got 16xsq. +66x+35=0

• Not only are you writing backward, but you’re left-handed as well!

Thank you for an excellent explanation!

• Good Luck with your Maths P2

• are you writing backwords?

• You explain the math part well in all your videos, but what i miss in some of them is: *where* do you supply these methods, other than a math curriculum? If any of them could be used to solve real life problems, it would be great if you offer suggestions for usage in the Information panel. Thanks again.

• Your backwards writing is better than mine forwards!!!

• i can’t focus on what shes teaching because she so attractive.

• What’s the topic again?

• You got a man?

• Awesome video. Thank you. Please keep making more lectures.

• 1:56 Why do you assume that the factors which multiply to -16 and add to 6 are integers? This is indeed the case in many “textbook problems” where the author engineer the expression to factor into “pretty round numbers” but not necessarily the case in real life. The general way to factor is finding the roots of the polynomial (for 2nd degree polynomial there is a formula, there are formula for 3rd and 4th degree polynomials as well, but not for n>5 degree polynomials).

• how does she write backwards like its nothing

• Why did it become x=-5?

• I finally understand it, now I won’t be embarrassed infront of my crush ๐

• VERY HELPFUL! Thank you so much! This helps to make much more sense!

• I got one that I can’t figure out.. How do I factor xยฒ+7x+80

• Why is it called a quadratic equation?

• At 6:13. I use a slightly different method. Using your example:

1) mult. coeft of x^2 by const.: 3 x -5 = -15.

2) Find factor pairs that sum to coeft of the x-term: -1 and 15.

3) Re-write the original equation using -x + 15x (found at .2): 3x^2 – x + 15x – 5

4) Place brackets around the first two terms and again around the next two terms: (3x^2 – x) + (15x – 5).

5) Factor these brackets: x(3x – 1) + 5(3x – 1). Note: the two bracket MUST be the same, else you have made a mistake.

6) Put the terms outside each bracket, i.e. x and 5, into one bracket, (x + 5); the other bracket is already done, (3x – 1).

7) Put these brackets together: (x + 5)(3x -1). giving x = -5, x = 1/3.

It may appear difficult but this is owing to the format here. Try it and you will see it is much simpler. In my view at least. ๐

• you made my life so easier. thank you
its easier to factor by understanding your video

• nice omggggg

• HEART ^2

• We can also have your number, since we’re talking about numbers ๐ฅ๐ฅ๐ฅ๐ฅ๐ฅ i can’t even focused just staring at her lol

• thank you so much, I have been studying for 16 years I never understand the factoring before watching your video. Ahmed from Iraq

• can you use the magic x to every other equation?

• Nancy, the hot smart mathematician. who else is amazed by how pretty she is!

• I really love your channel and it really helps me because I know it may seem like a small thing, but I like how weโre able to see a person and not just hands writing, because I take in a lot when Iโm learning. I can visually see you writing and I can also see words coming out of your mouth which doubly cements the information Iโm intaking so thank you so much for that. I also like your setup with that clear board and honestly even the pink color keeps a girl like me engaged, who is allergic to math. Thank you for all your videos that are concise and gentle. Iโm taking calculus again which I failed and Iโm hoping to really make a comeback. You videos give me hope. Thank you.

• Useful video thank you.

• I CANT EVEN BEGIN TO THANK YOU ENOUGH. You have taken a huge weight off my shoulders (the fear of factoring). Keep it up!

• Nancy I tried this magic X method with
3x^2+3x-18
And I wasn’t able to get the correct result. Not sure why.
I got: (x+3)(x-2)
but the correct answer is (3x-6)(x+3)

• thank you!

• Can we appreciate how she ended up the video at 11:11

A legend

• I’m all about that “Brute Force Method”

• A smart beautiful girl that’s really good with math. I mean, what more can you ask for?

• But anyways, humor aside, I’m curious how do you factor REALLY large numbers, say x^2 + 8x – 2900?

• How did you get that and were for the third equations

• How tf do u write backwards

• Has anyone tried to solve the equation previously showed in the video with the x method? (3x^2+12x-36)? It gives me (x-2)(x+6) as a result, which is weird.. but if solved and multiplied by 3 again works.. just wondering why the x method didn’t initially give thee exact result.

• i love you nancy

• This video helped me alot thanks ,๐๐

• THANK YOU!!!!!!!!!!

• thank you so much you are so helpful!! definitely recommend to watch Nancy’s videos ๐

• Thank you for this video. I am very appreciative of your teaching style.

• oh my god thank you YOU ARE A GOD

• Fnished high school 20 years ago. Studied humanities and worked for 17y, changed fields and now back at school, taking math refresh course. Didn’t understand factoring back then and didn’t understand it for the past 3 weeks… You saved me! thank you so much.

It’s not just the teaching, I know video editing is time consuming!! Thank you so much!!

• you are amazinggggggggggg

• #s

• Concise and understandable. I was unaware of the โmagic xโ trick. Thank you for sharing your knowledge.

• Can you please make a video about how to solve the cubic equations?

• Nancy youโre so fit ๐

• May I use the restroom please?

• Thank you so much, I’m always asleep in class so this video helped me catch up

• hahahahahahahaha. me too

• Anybody here from Otero?๐คฃ๐คฃ

• you are a life saver

• Youโre the best math teacher ever!

• You are genius, this saved me.

• ya fit

• Thank you it’s really very helpful as I was struggling solving quadratic

• You are awesome nsncy

• I entered the video just to see her when actually I don’t need the explanation๐.

• Thatโs creepy ngl

• I love you lol I would marry you if I could. You’re a god send!

• HOW DO YOU WRITE BACKWARDS?!?!

• Thank You soo much , understood it

• queen

• Thanks thatโs a time saver

• Dear Teacher, Please Can give us an explanation about the Differential equation 1st ord. constant coeff. , and thanks

• Have no idea how you get +6x???

• just wondering, do you write backward?

• Great work

• pain in neck to understad this method

• Thank you so much. I have not taken Algebra in years but need to study for my electrician aptitude test. This was very helpful. However could you suggest a video on equations that the numbers are bigger and need the middle number broken up? Thank you again

• I was never taught the x factoring thing wth

• And what is happening when we have only x in the middle
For example: x.x-x-6=0

• My degree is in English Lit (1976) because I never could follow math once I hit Algebra II. I wish I’d had you as my teacher. Thank you for what you’ve taught me so far. Please don’t stop.

• you helped me so much

• Bravo!!

• Thanks

• Luv u nancy๐๐

• When are you going to sell some tee shirts?

• Excellent explanation!

• Can u pls end up the second example plss …. Or is it the final answer

• What tool do u used for ur youtube content?

• Nancy you are a genius ๐๐๐

• I am 83 and wish you were around when I was at college

• You’re 83 and you still watch math videos….. I need to love math like you

• Does this work for cubic equations factoring?

• ur help with math helped me

• What do you mean an overall constant? Why not just a constant?

• Plz help me to solve following equation by this method
x2-7x+2 = 0

• X square 2 _6= 16. I can start my own like this. (ร+4) or (x_4)= to _ 16 then i solve for 0 which is i use 4* 4 is 16. So i will equal my number 4 = to zero which is 0_4 or

• I was seeing polynomials as nightmare but now pert good

• Okay that was simple as a dimple<---๐thanks

• you suck:(

• I actually know a super fast way of factoring that I want to publish in a future book hopefully.

• really this helps thankd Nancy

• e

• You are awesome!

• Must be a skill writing backwards

• Wow can you be my math teacher please you are fantastic

• Best explanation yet by anyone!

• sovle this equation 6x^2+5x-9=0 by that methode

• This trinomial can’t be factored, only with Quadratic formula

• this is great

• Superb video mam!

• There’s a lot of people thanking you already but I’d just like to add to the pile

• omg thank u so much, this really helps and u explain way more than what my actual teacher does, u got one more sub now, thanks for the help and I’ll be on the lookout for more of ur content

• What if the question was x^2 -4x -1 >0 ?

• How do you solve this: x^2โ4x+1=0

• Great video! Thanks

• how are you drawing in the air ๐ค

• I hope you realise how amazing you are Nancy! When I feel frustrated from college I just watch your videos and life is great again! Thank you so much!

• you saved me ๐ฅบ

• this helped me alot , thankyou

• i really enjoy your calm way of explaining this material Iโve learned quite a bit from your videoโs by relaxing and Not being so intense or have anxiety with understanding math … you are fabulous in covering the techniqueโs in grasping your way of instruction !! Thanks so much … Merced, Ca.

• Wow I really like this! Im also teaching marh in high school I have different approach but still arrived to the same answer! There are some tricks in this anyway this is awesome! I created a channel to incorporate my lessons! This is an inspiration

• Thank you

• Actually Thank you very very much

• I love rewatching your videos just for fun.

• Photomath has a heart attack when you try to scan these problems so this really helps.

• lol true

• Yea lol ๐

• How about the last number in the equation is positive? do we have to use the same magical X method? I’m confused.. pls help

• is the question at 5:18 done at the end or do need to the last part with the question that came before this at 4:12

• Ahahah๐

• What’s bigger than thanks Nancy? Am becoming better at math as I age.

• Mmm you sexy.

• Since the Mathematics Language is a world language, I can only watch the works. I don’t know how to speak and write English at this time, but I get help from uncle google.
You will no longer be able to teach mathematics to children born in 2004 and beyond, or you must choose the meaningful way of learning. Because these children are questioning and learning, they will question and write meaningfully. Dear teacher, thank you for sharing the Explanatory information with us.

• Yo is she writing everything backwards on the glass??

• Good question, can’t answer it though

• She writes normally on the glass, so it would appear backwards to us, but she flipped the video like a mirror image. Nancy is now backwards but the writing has been flipped so it looks normal to us. Humans are mostly symmetrical so Nancy still looks normal.

• William Kallemeyn Ahh that makes sense, I was super impressed at first lol

• why does the X method not work for 3x^2+8x-60=0?

• Agh thank you so much. I couldn’t remember this lesson from Algebra when i needed it in online Geometry classes so tysm so many videos on the same topic made no sense but you explained it really well and brough back some of my memories of these lessons, keep up the great work

• Hi @NancyPi
Would this apply to the below?
2x^2-9x-17=64
2x^2-4x-5=1
Many thanks

• magic x method: u must first factor out any GCF for it to work

• Should’ve written it a third time just for a kick at the expense of others. ๐๐คฃ

• I just realised shes writing it backwards wtf

• Wait nvm im stupid

• Omg ty

• I have my math exam on Monday thank you so much for this

• thank you very much madam

• Wait on the last one where she did the magic X and then did factoring, Isn’t the first value -3 because it’s 3x=-1?
Edit: Never mind, I was wrong, it is 1/3 not -1/3.

• Also how did this girl find out a strategy that simple yet so good. The magic X made life so much easier.

• YOU ARE SO AMAZING THANK YOUUUUU

• I’m having such a hard time relating this math to the real world… how can I visualize the concept in a more concrete way?

• Graphs. Punching it into a graphing calculator or ask Siri and she will show you,

• So refreshing to have a female teaching maths. Also a person that has no accent.

• 3x=1/3 how do you get that