Answer
$x=0$ or $x=6$ or $x=-6$
Work Step by Step
$ x^{3}-36x=0\qquad$...factor out the common term, $x$.
$ x(x^{2}-36)=0\qquad$...recognize a difference of two squares:
$a^{2}-b^{2}=(a-b)(a+b)$
$ x(x-6)(x+6)=0\qquad$...apply the principle of zero products.
$x=0$
$x-6=0$
$x=6$
$x+6=0$
$x=-6$
Type the equation into a graphing utility and see
that the graph intercepts the x-axis at $0,6$ and $-6$.
