Answer
$\{2\}$
Work Step by Step
Use distributive property.
$w\cdot 4-w\cdot w^2=8-w^3$
Simplify.
$4w-w^3=8-w^3$
Add $w^3$ to both sides.
$4w-w^3+w^3=8-w^3+w^3$
Simplify.
$4w=8$
Divide both sides by $4$.
$\dfrac{4w}{4}=\dfrac{8}{4}$
Simplify.
$w=2$
Hence, the solution to the equation is $\{2\}$.
