Solve for c
\left\{\begin{matrix}c\in \mathrm{R}\text{, }&(b\geq 0\text{ or }a\geq \frac{b}{2})\text{ and }(b\leq 0\text{ or }a\leq \frac{b}{2})\\c\in (-\infty,-\sqrt{b(2a-b)}+a]\cup [\sqrt{b(2a-b)}+a,\infty)\text{, }&a=\frac{b}{2}\text{ or }(a\geq \frac{b}{2}\text{ and }b\geq 0)\text{ or }(b\leq 0\text{ and }a\leq \frac{b}{2})\end{matrix}\right.
Solve for b
\left\{\begin{matrix}b\in \mathrm{R}\text{, }&(c\geq 0\text{ or }a\geq \frac{c}{2})\text{ and }(c\leq 0\text{ or }a\leq \frac{c}{2})\\b\in (-\infty,-\sqrt{c(2a-c)}+a]\cup [\sqrt{c(2a-c)}+a,\infty)\text{, }&a=\frac{c}{2}\text{ or }(a\geq \frac{c}{2}\text{ and }c\geq 0)\text{ or }(c\leq 0\text{ and }a\leq \frac{c}{2})\end{matrix}\right.
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