Solve for f
f=x+6-\frac{8}{x}
x\neq 0
Solve for x
x=\frac{-\sqrt{f^{2}-12f+68}+f-6}{2}
x=\frac{\sqrt{f^{2}-12f+68}+f-6}{2}
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fx=x^{2}+6x-8
Subtract 8 from both sides.
xf=x^{2}+6x-8
The equation is in standard form.
\frac{xf}{x}=\frac{x^{2}+6x-8}{x}
Divide both sides by x.
f=\frac{x^{2}+6x-8}{x}
Dividing by x undoes the multiplication by x.
f=x+6-\frac{8}{x}
Divide x^{2}+6x-8 by x.
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