Solve for c
\left\{\begin{matrix}c=-\frac{\sqrt{289x^{2}-7728mx+28224m^{2}}+23x-168m}{120m}\text{; }c=-\frac{-\sqrt{289x^{2}-7728mx+28224m^{2}}+23x-168m}{120m}\text{, }&m\neq 0\text{ and }\left(m\geq \frac{\sqrt{15}|x|}{42}+\frac{23x}{168}\text{ or }m\leq -\frac{\sqrt{15}|x|}{42}+\frac{23x}{168}\right)\\c\in \mathrm{R}\text{, }&m=0\text{ and }x=0\end{matrix}\right.
Solve for m
\left\{\begin{matrix}m=\frac{x\left(\sqrt{c\left(289c+672\right)}+23c\right)}{24c\left(14-5c\right)}\text{; }m=\frac{x\left(-\sqrt{c\left(289c+672\right)}+23c\right)}{24c\left(14-5c\right)}\text{, }&\left(c\neq \frac{14}{5}\text{ and }c>0\right)\text{ or }c\leq -\frac{672}{289}\\m=-\frac{5x}{322}\text{, }&x=0\text{ or }c=\frac{14}{5}\\m\in \mathrm{R}\text{, }&\left(c=\frac{14}{5}\text{ or }c=0\right)\text{ and }x=0\end{matrix}\right.
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