Answer
$x = 0, \frac{3}{2}$
Work Step by Step
We factor the expression, and then we set each factor equal to zero:
$4x^{2} = 6x$
$4x^{2} - 6x = 0$
$2x(2x - 3) = 0$
First Factor:
$2x = 0 \\\\ x=0$
Second Factor:
$2x - 3 = 0$
$2x = 3$
$x = \frac{3}{2}$
