Solve for f
f=\frac{1}{3x}
x\neq 0
Solve for x
x=\frac{1}{3f}
f\neq 0
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\frac{1}{f}=3x
Reorder the terms.
1=3xf
Variable f cannot be equal to 0 since division by zero is not defined. Multiply both sides of the equation by f.
3xf=1
Swap sides so that all variable terms are on the left hand side.
\frac{3xf}{3x}=\frac{1}{3x}
Divide both sides by 3x.
f=\frac{1}{3x}
Dividing by 3x undoes the multiplication by 3x.
f=\frac{1}{3x}\text{, }f\neq 0
Variable f cannot be equal to 0.
3x=f^{-1}
Swap sides so that all variable terms are on the left hand side.
3x=\frac{1}{f}
Reorder the terms.
3xf=1
Multiply both sides of the equation by f.
3fx=1
The equation is in standard form.
\frac{3fx}{3f}=\frac{1}{3f}
Divide both sides by 3f.
x=\frac{1}{3f}
Dividing by 3f undoes the multiplication by 3f.
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