Answer
$x=0$ and $x=-\frac{2}{3}$
Work Step by Step
Factor out the GCF (greatest common factor), which is $3x$, to obtain:
$$3x(3x+2)=0$$
Use the Zero-Product Property by equating each factor with a variable to zero, then solve each equation:
\begin{align*}
3x&=0 &\text{or}& &3x+2=0\\\\
x&=0 &\text{or}& &3x=-2\\\\
x&=0 &\text{or}& &x=-\frac{2}{3}
\end{align*}