Answer
$x=0$ and $x=-4$
Work Step by Step
Factor the binomial:
$$x(x+4)=0$$
Use the Zero-Product Property by equating each factor with a variable to zero, then solve each equation to obtain:
\begin{align*}
x&=0 &\text{or}& &x+4=0\\
x&=0 &\text{or}& &x=-4
\end{align*}
Thus, the solutions are $x=0$ and $x=-4$.