Answer
$x = -9$ or $x = 3$
Work Step by Step
We have a quadratic expression in the form $x^2 + bx + c$.
Find factors of $c$, which is $-27$ in this case, whose sum is equal to $b$, which is $6$ in this case.
List of possible factors:
$9$ and $-3$
$27$ and $-1$
The first pair will work.
Rewrite the equation using the factors:
$(x + 9)(x - 3) = 0$
Use the Zero Product Property to set each factor equal to $0$ and solve:
First factor:
$x + 9 = 0$
$x = -9$
Second factor:
$x - 3 = 0$
$x = 3$
