Answer
{$-\frac{7}{3},\frac{5}{2}$}
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:
$(2x-5)(3x+7)=0$
$(2x-5)=0$ or $(3x+7)=0$
$x=\frac{5}{2}$ or $x=-\frac{7}{3}$
Therefore, the solution set is {$-\frac{7}{3},\frac{5}{2}$}.