Answer
$\{-\frac{5}{3},3\}$
Work Step by Step
Recall the Zero_Product Property:
If $ab=0$, then $a=0$ or $b=0$ or both are $0$.
Use zero product property by equating each of the factors to $0$ to obtain:
$x-3=0$ or $3x+5=0$
Solve each equation for $x$.
$x=3$ or $x=-\frac{5}{3}$
Hence, the solution set to the given equation is $\{-\frac{5}{3},3\}$.