Answer
$\color{blue}{\left\{-\dfrac{3}{5}, 0\right\}}$
Work Step by Step
Factor out $x$:
$$x(5x+3)=0$$
Use the Zero-Product Property by equating each factor to zero. Then, solve each equation to obtain:
\begin{align*}
x&=0 &\text{or}& &5x+3=0\\
x&=0 &\text{or}& &5x=-3\\
x&=0 &\text{or}& &x=-\frac{3}{5}\\
\end{align*}
Therefore, the solution set is $\color{blue}{\left\{-\dfrac{3}{5}, 0\right\}}$.
