Answer
$x=0$ or $x=\dfrac{1}{2}$
Work Step by Step
Factorthe polynomial to obtain:
$2x^2-x=0\\x(2x-1)=0$
The zero product rule says that if a product is $0$, then one of the multiplicants must be $0$.
Hence, by the zero product rule, we'd have:
\begin{align*}
x&=0 &\text{ or }& &2x-1=0\\
x&=0 &\text{ or }& &2x=1\\
x&=0 &\text{ or }& &x=\frac{1}{2}\\
\end{align*}
