Answer
$x=2$
Work Step by Step
Simplify the equation to obtain:
\begin{align*}
4m^2+5m-4m^2&=0\\
5m&=10
\end{align*}
Divide $5$ to both sides to obtain:
$$m=2$$
Checking:
\begin{align*}
4(2^2)+5(2)&=4(2^2)+10\\
4(4)+10&\stackrel{\checkmark}=4(4)+10\\
\end{align*}
Therefiore, the solution set is $x=2$.