Solve for w
w=\frac{u^{2}-32}{4}
Solve for u
u=2\sqrt{w+8}
u=-2\sqrt{w+8}\text{, }w\geq -8
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-4w-32=-u^{2}
Subtract u^{2} from both sides. Anything subtracted from zero gives its negation.
-4w=-u^{2}+32
Add 32 to both sides.
-4w=32-u^{2}
The equation is in standard form.
\frac{-4w}{-4}=\frac{32-u^{2}}{-4}
Divide both sides by -4.
w=\frac{32-u^{2}}{-4}
Dividing by -4 undoes the multiplication by -4.
w=\frac{u^{2}}{4}-8
Divide -u^{2}+32 by -4.
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