Solve for f
f=-\frac{1}{x}
x\neq 0
Solve for x
x=-\frac{1}{f}
f\neq 0
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-fx=1
Reorder the terms.
\left(-x\right)f=1
The equation is in standard form.
\frac{\left(-x\right)f}{-x}=\frac{1}{-x}
Divide both sides by -x.
f=\frac{1}{-x}
Dividing by -x undoes the multiplication by -x.
f=-\frac{1}{x}
Divide 1 by -x.
\frac{\left(-f\right)x}{-f}=\frac{1}{-f}
Divide both sides by -f.
x=\frac{1}{-f}
Dividing by -f undoes the multiplication by -f.
x=-\frac{1}{f}
Divide 1 by -f.
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