Answer
{$2$}
Work Step by Step
$w(4-w^2)=8-w^2$
$4w-w^3=8-w^3$ Distribute.
$4w-w^3+w^3=8-w^3+w^3$ Add $w^3$ to both sides.
$4w=8$
$\frac{4}{4}w=\frac{8}{4}$ Divide both sides by 4.
$w=2$
The solution is {$2$}.
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