Solve for f
f=5x+2-\frac{3}{x}
x\neq 0
Solve for x
x=\frac{-\sqrt{f^{2}-4f+64}+f-2}{10}
x=\frac{\sqrt{f^{2}-4f+64}+f-2}{10}
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fx=5x^{2}+2x-3
Reorder the terms.
xf=5x^{2}+2x-3
The equation is in standard form.
\frac{xf}{x}=\frac{\left(5x-3\right)\left(x+1\right)}{x}
Divide both sides by x.
f=\frac{\left(5x-3\right)\left(x+1\right)}{x}
Dividing by x undoes the multiplication by x.
f=5x+2-\frac{3}{x}
Divide \left(-3+5x\right)\left(1+x\right) by x.
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