Answer
$x=\frac{9}{2}$ or $x=-9$ or $x=4$
Work Step by Step
We simplify as follows:
$(2x-9)(x^{2}+5x-36)=0$
$(2x-9)(x+9)(x-4)=0$
$2x-9=0$ or $x+9=0$ or $x-4=0$
$2x=9$ or $x=-9$ or $x=4$
$x=\frac{9}{2}$ or $x=-9$ or $x=4$