Solve for f
\left\{\begin{matrix}f=\frac{\sqrt[6]{5}}{\sqrt{x}}\text{, }&x>0\\f\in \mathrm{R}\text{, }&x=0\end{matrix}\right.
Solve for x
\left\{\begin{matrix}\\x=0\text{, }&\text{unconditionally}\\x=\frac{\sqrt[3]{5}}{f^{2}}\text{, }&f>0\end{matrix}\right.
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xf=\sqrt[6]{5x^{3}}
The equation is in standard form.
\frac{xf}{x}=\frac{\sqrt[6]{5}\sqrt{x}}{x}
Divide both sides by x.
f=\frac{\sqrt[6]{5}\sqrt{x}}{x}
Dividing by x undoes the multiplication by x.
f=\frac{\sqrt[6]{5}}{\sqrt{x}}
Divide \sqrt[6]{5}\sqrt{x} by x.
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