Question

Which is a solution to (x – 3)(x + 9) = –27?

x = –9
x = –3
x = 0
x = 6

Answer 1

C: x = 0

There is no solution.

Answer 2

x = 0

Explanation:

Since the product is not equal zero, we need to multiply both parenthesis first:

`(x-3)(x+9) =-27`

`x*x+x*9+(-3)*x+(-3)*9=27`

`x^2+9x-3x-27=27`

`x^2+6x-27=27`

Add 27 from both sides:

`x^2+6x-27+27=-27+27`

`x^2-6x=0`

Factor
`x` out:

`x(x+6)=0`

Apply the zero product:

`x=0,x+6=0`

`x=0,x=-6`

The solutions of the equation are
`x=0` and
`x=-6`.

We can conclude that the correct answer is x = 0.