Question

Factor:

200=(30-2x)(50-2x)

Answer 1

Do you know how to multiply terms in factoring?

Answer 2

Yes

Answer 3

So it's 200=1500-160x-4x^2?

Answer 4

What do I do after that though?

Answer 5

200=4x^2 - 160x + 1500.

Answer 6

You may subtract 1500. Which results to be: ?

Answer 7

1300=4x^2 - 160x

Answer 8

I believe you would need everything to one side. So you can just move that 1300 over.
4x^2 - 160x - 1300. Do you need the x values, yes?

Answer 9

So do I simplify it to x^2-40-325?

Answer 10

Oops, I meant x^2-40x-325

Answer 11

You may, that will not change the x values. Are you trying to find x?

Answer 12

But, if your just simplifying, that is the lowest it can go.

Answer 13

Yes

Answer 14

I'm trying to find x.

Answer 15

Are you familiar with the quadratic formula?

Answer 16

\[-b +/- \sqrt{b^2 - 4ac} /(2a)\]

Answer 17

I don't think I've learned it yet.

Answer 18

One second, sorry.

Answer 19

It's okay, take your time.

Answer 20

a = 1 b = -40 c = -325.
x^2-40x-325
Do you understand why it is these terms.
(1)x^2 (-40)x (-325)

Answer 21

Yes

Answer 22

I'm so sorry, but I have to go now... It's okay if you don't finish solving it! I appreciate your help!!

Answer 23

I apologize I kept getting errors on my calculator, not sure what I messed up on, because I figured out the x value a different method, but it's more complex than this.

Answer 24

But look at this,

Answer 25

\[x = -5 (\sqrt{29} -4) \]

Answer 26

\[x = 5(4+\sqrt{29})\]

Answer 27

You may distribute the 5 and -5 to both values and get the exact decimal.

Answer 28

Okay, thank you so much!!!