Solve the equation by factoring. Now,

for those of you that forget how to do factoring, now is a good time to go back

to an earlier chapter called “factoring,” where I taught all the techniques and

tricks to do factoring. Cool. Back to this question here. So, to factor this

trinomial, the first thing you got to ask yourself is, “well, between the numbers

here, is there a common factor?” Well all three numbers are even numbers, so that

means they must be divisible by 2, so let’s factor out 2. Okay? And what do we

have left inside the bracket? Well for the first term, 2x squared, factor out the 2,

what do we have left? Just x squared right? Now, for the second term, negative

12x. Now what do we factor out? We factor out 2, so you got to divide this by 2. So

what do we have left? Negative 12 divided by 2, we have negative 6x So we have

negative 6x left inside the bracket. Now for the third term, the constant term,

positive 10, what do we factor out again? We factored out 2, so divide by 2, so we

have 5 left inside the bracket. Positive 5. Okay? Cool. Now, how do we factor this

trinomial inside the bracket? Well, do you remember a very powerful technique called

cross multiply, then check? Right? So let’s use that technique to factor this

trinomial, okay? So, look at the leading term x squared, we can break it apart as x

times x right? Now, look at the constant term, positive

5. Well, positive 5 can be positive times positive 1. Right? Because positive 5

times positive 1 is positive 5. But is zero another option? Yes. Negative 5 times

negative 1 is also positive 5. Because negative times negative, we get positive.

And see, the negative is the better choice here because check this out, the middle

term we are looking for is negative. Right? So, negative should be the better

choice here. Okay? So now let’s do cross-multiply, then check. So,

cross-multiply this way, negative 5 times x, we get negative 5. Cross-multiply

this way, x times negative 1, we get negative x. And combine everything

here what do we have? After cross-multiply we got to what? Check, right? So that’s

why the technique is called cross-multiply, then check. Okay? So, now

we have to check here, so combine everything on the bottom line here, we

have negative 6x. Now you got to ask yourself, “Does this match the middle

term?” Yes, negative 6x. That means we are good. See? That means our factoring

is correct. So now, two factors. First factor is x minus 5. Second factor

is right here, x minus 1. Now the rest is easy. To solve this equation, wow

super easy. Ask yourself, guys. . . look at the first bracket here. What x value

will make this whole thing equal to zero? Well, would you say x must be 5

because 5 minus 5 is zero. Right? Now what x value will make this whole thing equal

to zero? X must be what? One right? Because 1 minus

1 is zero. And guess what? That’s the answer. Right? So the solution for this

quadratic equation is x equals 5 and x equals 1. So we have two solutions

for x.

Man I wish this guy is my teacher I learnt a lot

your good I my that dumb cause my class is in the lowest tier

nice…

Yes ,the time that is taken to explain what ever it is there solving makes all the difference.

I like how he says

vry nice jawline

vry asian 1:15 on my fav part

whats his name?!!! aa he is so cute! xx hehehehe

i like how he says: " cross-multiply" so cute

What if the polynomial equals anything that is not 0

i used to do this with calculator cuz everytime i read the textbook about this, i'd get confused. but now i finally understand. Thank you.

I love you

So I'm in advanced 8th grade classes and I know how to factor the polynomials. But, I am quite unsure of how to solve polynomial word problems, I get quite confused. Is there a site and/or video of yours that I can use to understand said problems?

ʕ•ᴥ•ʔ

What about for 4x^2 – 12x + 9 = 0 ??

You are one of the best teachers ever, im now starting to get to grasps with this subject thanks to you. Greetings from England

Thanks study pug…😃😃😃😃😃😃

great video has helped me so much thank you

Studypug makes math fun to learn

can you please make 'Solve Quadratic Equations by completing the square'

I just entered College Algebra and this is more helpful than my professors notes, lectures, and textbook. Wow! Keep up the great work!

I never got how to factories but u helped me thank you!!!!!:)))))

The gentlemen in the video is awesome! I wish all college professors can teach like him.

Lol I love how enthusiastic he is when teaching maths; I guess someone has to be!😂😣..

T-Minus 40 minutes before my math exam. Commence the studying.

Thank you so so so much, I’m really hopeless when it comes to math but I really do try! You made it so much easier, I was having a panic attack, I couldn’t find people who knew how to explain it in a way that I would get it but then I found you, thank you so so much but now I do have confidence that I will pass thank you so much 😊

This is explained so well thank you so much

I love the board!!!!

This lesson had been my problem the entire week and all it takes for me to understand it is this video and a great teacher

so good man

u the best

i subed

thz

Bless you! Thank you so much this is so clear I wonder how my teacher was explaining this to make me confused!

good vid m8

Your very helpful, and explain your subject great

will i will have an exam tomorrow and iam counting on you all the time thank you very much

Can you do m square +21m+100 please

Quadratic inequalities can you make a video for it

Seems like a nice chap but I don't think his explanation was very good.

I understand a lot thank you very much and btw you're so hot XD