Answer
$x=-2,0,2$
Work Step by Step
First, set the terms in the parentheses equal to zero, and do the same with $5x^{2}$. Then solve for each and include each solution in the final answer.
$5x^{2}(x^{2}-4)=0$
$x^{2}-4=0$
$x=±2$
$5x^{2}=0$
$x=0$
$x=-2,0,2$