Answer
3
Work Step by Step
$w^2+3/2w+2=w/2$ cross multiply
$2(w^2+3)=w(2w+2)$ distributive property
$2w^2+6=2w^2+2w subtract 2w^2$ from each side
$2w^2+6−2w^2=2w^2+2w−2w^2$ combine like terms
6=2w divide both sides by 2
6÷2=2w÷2 simplify
3=w