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