Answer
{$-\frac{5}{2},\frac{2}{3}$}
Work Step by Step
Since the equation is already factored, we need to equate all of the factors to zero in order to solve the equation:
$(3x-2)(2x+5)=0$
$(3x-2)=0$ or $(2x+5)=0$
$x=\frac{2}{3}$ or $x=-\frac{5}{2}$
Therefore, the solution set is {$-\frac{5}{2},\frac{2}{3}$}.