Question

$$F=7sc^{2}-14\ sz+4^{9}$$

Solve for c (complex solution)

$\left\{\begin{matrix}c=-\frac{is^{-\frac{1}{2}}\sqrt{1835008-7F-98sz}}{7}\text{; }c=\frac{is^{-\frac{1}{2}}\sqrt{1835008-7F-98sz}}{7}\text{, }&s\neq 0\\c\in \mathrm{C}\text{, }&F=262144\text{ and }s=0\end{matrix}\right.$

Solve for F

$F=262144+7sc^{2}-14sz$

Solve for c

$\left\{\begin{matrix}c=\frac{\sqrt{\frac{7\left(14sz+F-262144\right)}{s}}}{7}\text{; }c=-\frac{\sqrt{\frac{7\left(14sz+F-262144\right)}{s}}}{7}\text{, }&\left(s<0\text{ or }F\geq 262144-14sz\right)\text{ and }\left(s>0\text{ or }F\leq 262144-14sz\right)\text{ and }s\neq 0\\c\in \mathrm{R}\text{, }&F=262144\text{ and }s=0\end{matrix}\right.$