Answer
$x = 0, -\frac{3}{7}$
Work Step by Step
We factor the expression, and then we set each factor equal to zero:
$7x^{2} = -3x$
$7x^{2} + 3x = 0$
$x(7x + 3) = 0$
First Factor:
$x = 0$
Second Factor:
$7x + 3 = 0$
$7x = -3$
$x = -\frac{3}{7}$