Answer
$x=0$ or $x=-5$ or $x=5$
Work Step by Step
We solve by factoring and using the fact that $a^2-b^2=(a+b)(a-b)$:
$x^{3}=25x$
$x^{3}-25x=0$
$x(x^{2}-25)=0$
$x(x+5)(x-5)=0$
$x=0$ or $x+5=0$ or $x-5=0$
$x=0$ or $x=-5$ or $x=5$
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