Solve for A
\left\{\begin{matrix}\\A=0\text{, }&\text{unconditionally}\\A\in \mathrm{R}\text{, }&S=\frac{102}{C^{3}}\text{ and }C\neq 0\end{matrix}\right.
Solve for C
\left\{\begin{matrix}C=\sqrt[3]{\frac{102}{S}}\text{, }&S\neq 0\\C\in \mathrm{R}\text{, }&A=0\end{matrix}\right.
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SC^{3}A=102A
To multiply powers of the same base, add their exponents. Add 1 and 2 to get 3.
SC^{3}A-102A=0
Subtract 102A from both sides.
\left(SC^{3}-102\right)A=0
Combine all terms containing A.
A=0
Divide 0 by SC^{3}-102.
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