This math question is stressing me out

Question

Solve the following equation.

2x(x-4)-x(x-3)=14

x = ______, ______

Answer 1

Hi Mike,

 

Let's see what we can do with this one.

 

2x(x-4) - x(x-3) = 14

 

Let's distribute first.

 

2x²-8x - (x²-3x) = 14

and

2x²-8x - x²+3x = 14

 

Combine terms

x² - 5x = 14

x²-5x-14=0

 

Factor

(x-7)(x+2) = 0

 

Set each factor equal to 0 and solve

x-7=0

x=7

and

x+2=0

x=-2

 

x = -2, 7