Answer
$x=0$ and $x=3$ and $x=-3$
Work Step by Step
$4x^{3}-36x=0$
Factor out $4x$
$4x(x^{2}-9)=0$
Using the Zero Product Property
$4x=0$ and $x^{2}-9=0$
The first equation
$4x=0$
Divide by $4$
$x=0$
The second equation
$x^{2}-9=0$
Add $9$ to both sides
$x^{2}=9$
Square root both sides
$x=3$ and $x=-3$