Question

How do you solve `(x-5)(x+6)=12`?

Answer 1

`x=6 or -7`

Explanation:

`(x-5)(x+6)=12`

Expand,

`x^2+x-30=12`

Subtract `12` from both sides,

`x^2+x-42=0`

Factor,

`(x-6)(x+7)=0`

Solve,

`x=6 or -7`