Answer
{$-4,9$}
Work Step by Step
Using the rules of factoring trinomials, we obtain:
$x^{2}-5x-36=0$
$x^{2}+4x-9x-36=0$
$x(x+4)-9(x+4)=0$
$(x+4)(x-9)=0$
$(x+4)=0$ and $(x-9)=0$
$x=-4$ and $x=9$
Therefore, the solution set is {$-4,9$}.