Solve for H
\left\{\begin{matrix}H=\sqrt{7c}S\text{; }H=-\sqrt{7c}S\text{, }&S\neq 0\text{ and }c>0\\H\neq 0\text{, }&m=0\text{ and }S\neq 0\end{matrix}\right.
Solve for S
\left\{\begin{matrix}S=\frac{\sqrt{\frac{7}{c}}H}{7}\text{; }S=-\frac{\sqrt{\frac{7}{c}}H}{7}\text{, }&H\neq 0\text{ and }c>0\\S\neq 0\text{, }&m=0\text{ and }H\neq 0\end{matrix}\right.
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