Answer
$x=\frac{1}{2}$ and $x=8$
Work Step by Step
Subtract $34x$ from each side:
\begin{align*}
4x^2+16-34x&=34x-34x\\
4x^2-34x+16&=0
\end{align*}
Factor out $2$:
\begin{align*}
2(2x^2-17x+8)&=0
\end{align*}
Factor the trinomial:
\begin{align*}
2(2x-1)(x-8)&=0
\end{align*}
Use the Zero-Product Property by equating each factor with a variable to zero, then solve each equation:
\begin{align*}
2x-1&=0 &\text{or}& &x-8=0\\\\
2x&=1 &\text{or}& &x=8\\\\
x&=\frac{1}{2} &\text{or}& &x=8
\end{align*}
