Solve for f
f=2a-\frac{2}{a}
a\neq 0
Solve for a
a=\frac{-\sqrt{f^{2}+16}+f}{4}
a=\frac{\sqrt{f^{2}+16}+f}{4}
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fa=2a^{2}-2
Multiply both sides of the equation by 2.
af=2a^{2}-2
The equation is in standard form.
\frac{af}{a}=\frac{2a^{2}-2}{a}
Divide both sides by a.
f=\frac{2a^{2}-2}{a}
Dividing by a undoes the multiplication by a.
f=2a-\frac{2}{a}
Divide 2a^{2}-2 by a.
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