Answer
$x=0$ or $x=\dfrac{3}{2}$
Work Step by Step
Subtract $3x^2$ from both sides to obtain:
\begin{align*}
2x^3-3x^2&=0\\
x^2(2x-3)&=0
\end{align*}
Solve the equation using the Zero-Product Property by equating each factor to zero, then solve each equation to obtain:
\begin{align*}
x^2&=0 &\text{or}& &2x-3=0\\
x&=0 &\text{or}& &2x=3\\
& && &x=\frac{3}{2}
\end{align*}
