Chapter A.6, Problem 36AYU

To determine

To solve: $w\left(4-w^2\right)=8-w^3$

Answer to Problem 36AYU

$w=2$

Explanation of Solution

$w\left(4-w^2\right)=8-w^3$

$4w-w^3=8-w^3$

$4w-w^3+w^3=8-w^3+w^3$   (Add $w^3$ on both sides)

$4w=8$

$\frac{4w}{4}=\frac{8}{4}$   (Divide 4 on both sides)

$w=2$