Answer
$\color{blue}{\left\{-3, 2\right\}}$.
Work Step by Step
RECALL:
Zero-Factor Property:
If $ab = 0$, then either $a=0$ or $b=0$ or both are $0$.
Use the property above to obtain:
\begin{array}{ccc}
&x+3=0 &\text{or} &x-2=0
\end{array}
Solve each equation to obtain:
$x=-3$ or $x=2$
Thus, the solution set is $\color{blue}{\left\{-3, 2\right\}}$.