Answer
The solution set is $\left\{0, -4\right\}$
Work Step by Step
Factor out the GCF, which is $x$, to obtain:
$x(x+4)=0$
Use the Zero-Product Property by equating each factor to zero and then solving each equation to obtain:
$\begin{array}{ccc}
&x=0 &\text{ or } &x+4=0
\\&x=0 &\text{ or } &x=-4
\end{array}$
Thus, the solution set is $\left\{0, -4\right\}$.
