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### Polynomials with x

```
Date: 9/10/96 at 17:2:23
From: Joe
Subject: Polynomials With x

Can you help me figure out problems like
3x-x(3-5x)=(5x-2)(x+4)  ?

Thanks.
```

```
Date: 9/12/96 at 12:34:43
From: Doctor Leigh
Subject: Re: Polynomials With x

3x-x(3-5x)=(5x-2)(x+4)       First distribute
3x-3x+5x^2 = 5x^2-2x+20x-8   Then combine like terms
5x^2 = 5x^2+18x-8            Move all the x's to one side
-5x^2  -5x^2
0 = 18x-8                    Add 8 to both sides
8 = 18x                      Divide by 18

8/18 = x

The steps for problems like this are:

(multiplication, etc.)
2. combine like terms
3. get all of the x's over to one side
4. solve for x

You try the rest!

-Doctor Leigh Ann,  The Math Forum
Check out our web site!  http://mathforum.org/dr.math/
```
Associated Topics:
Middle School Algebra

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