Answer
$x=-8$ and $x=1$
Work Step by Step
Factor the trinomial:
\begin{align*}
(x+8)(x-1)&=0
\end{align*}
Use the Zero-Product Property by equating each factor to zero, then solve each equation:
\begin{align*}
x+8&=0 &\text{or}*& &x-1=0\\
x&=-8 &\text{or}& &x=1
\end{align*}