Answer
$x = 0, -\frac{5}{2}$
Work Step by Step
We factor the expression, and then we set each factor equal to zero:
$5x = -2x^{2}$
$5x + 2x^{2} = 0$
$x(5+2x) = 0$
First Factor:
$x=0$
Second Factor:
$5 + 2x = 0$
$2x = -5$
$x = -\frac{5}{2}$