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