Solve for s
\left\{\begin{matrix}s=\frac{x}{w-c^{3}}\text{, }&w\neq c^{3}\\s\in \mathrm{R}\text{, }&x=0\text{ and }w=c^{3}\end{matrix}\right.
Solve for c
\left\{\begin{matrix}c=\sqrt[3]{w-\frac{x}{s}}\text{, }&s\neq 0\\c\in \mathrm{R}\text{, }&x=0\text{ and }s=0\end{matrix}\right.
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sw-sc^{3}=x
Swap sides so that all variable terms are on the left hand side.
-sc^{3}+sw=x
Reorder the terms.
\left(-c^{3}+w\right)s=x
Combine all terms containing s.
\left(w-c^{3}\right)s=x
The equation is in standard form.
\frac{\left(w-c^{3}\right)s}{w-c^{3}}=\frac{x}{w-c^{3}}
Divide both sides by w-c^{3}.
s=\frac{x}{w-c^{3}}
Dividing by w-c^{3} undoes the multiplication by w-c^{3}.
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