#### Answer

$x = 0, -\frac{7}{5}$

#### Work Step by Step

1. Rewrite the equation so that it is set equal to zero:
$7x = - 5x^{2}$
$7x + 5x^{2} = 0$
2. Factor out $x$ from the equation, set each factor equal to zero, and solve:
$x(7 + 5x) = 0$
$x=0$
$7 + 5x = 0$
$5x = -7$
$x = -\frac{7}{5}$
$x = 0, -\frac{7}{5}$