could someone help me with this?

Question

Solve the following equation.

(x-8)(x+7)=-2x

x= ______ , _____

Answer 1

Hello Mike,

 

(x-8)(x+7) = -2x

 

The first thing we need to do is expand the left side, FOIL.

 

x² - x - 56 = -2x

 

Let's add 2x to both sides so that we are left with 0 on the right.

 

x² + x - 56 = 0

 

Factor the quadratic

 

(x+8)(x-7) = 0

 

Set each factor equal to 0 and solve

 

x+8 = 0

x=-8

and

x-7=0

x=7

 

x = -8,7