Solve for f
f=2x-12+\frac{10}{x}
x\neq 0
Solve for x (complex solution)
x=\frac{-\sqrt{f^{2}+24f+64}+f+12}{4}
x=\frac{\sqrt{f^{2}+24f+64}+f+12}{4}
Solve for x
x=\frac{-\sqrt{f^{2}+24f+64}+f+12}{4}
x=\frac{\sqrt{f^{2}+24f+64}+f+12}{4}\text{, }f\geq 4\sqrt{5}-12\text{ or }f\leq -4\sqrt{5}-12
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xf=2x^{2}-12x+10
The equation is in standard form.
\frac{xf}{x}=\frac{2\left(x-5\right)\left(x-1\right)}{x}
Divide both sides by x.
f=\frac{2\left(x-5\right)\left(x-1\right)}{x}
Dividing by x undoes the multiplication by x.
f=2x-12+\frac{10}{x}
Divide 2\left(-5+x\right)\left(-1+x\right) by x.
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