How do you solve x(x-6)=72x(x6)=72?

1 Answer
Jun 10, 2017

x=-6,12x=6,12

Explanation:

The first step is to distribute x(x-6)x(x6):

x^2-6xx26x

Now you have:

x^2-6x=72x26x=72

Subtract 72 from both sides:

x^2-6x-72=cancel72-cancel72

x^2-6x-72=0

Factor it:

(x-12)(x+6)=0

Set each of them equal to zero and solve:

x-12=0

x+6=0

The answer is:

x=-6,12