Answer
$w=-\displaystyle \frac{1}{2}$ or $w=\displaystyle \frac{3}{2}$
Work Step by Step
We solve by factoring:
$4w^{2}=4w+3$
$4w^{2}-4w-3=0$
$(2w+1)(2w-3)=0$
$2w+1=0$ or $2w-3=0$
So we have: $w=-\displaystyle \frac{1}{2}$ or $w=\displaystyle \frac{3}{2}$
