Solve for f
\left\{\begin{matrix}f=-\frac{x+5}{\sqrt[3]{x}}\text{, }&x\neq 0\\f\in \mathrm{R}\text{, }&x=0\end{matrix}\right.
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-fx=x^{\frac{5}{3}}+5x^{\frac{2}{3}}
Reorder the terms.
\left(-x\right)f=x^{\frac{5}{3}}+5x^{\frac{2}{3}}
The equation is in standard form.
\frac{\left(-x\right)f}{-x}=\frac{x^{\frac{2}{3}}\left(x+5\right)}{-x}
Divide both sides by -x.
f=\frac{x^{\frac{2}{3}}\left(x+5\right)}{-x}
Dividing by -x undoes the multiplication by -x.
f=-\frac{x+5}{\sqrt[3]{x}}
Divide \left(5+x\right)x^{\frac{2}{3}} by -x.
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