Solve for n (complex solution)
\left\{\begin{matrix}n=\frac{\sqrt{12S_{L}+25}+9}{14-3S_{L}}\text{; }n=\frac{-\sqrt{12S_{L}+25}+9}{14-3S_{L}}\text{, }&S_{L}\neq \frac{14}{3}\\n=\frac{2}{9}\text{, }&S_{L}=\frac{14}{3}\end{matrix}\right.
Solve for S_L
S_{L}=\frac{14}{3}-\frac{6}{n}+\frac{4}{3n^{2}}
n\neq 0
Solve for n
\left\{\begin{matrix}n=\frac{\sqrt{12S_{L}+25}+9}{14-3S_{L}}\text{; }n=\frac{-\sqrt{12S_{L}+25}+9}{14-3S_{L}}\text{, }&S_{L}\neq \frac{14}{3}\text{ and }S_{L}\geq -\frac{25}{12}\\n=\frac{2}{9}\text{, }&S_{L}=\frac{14}{3}\end{matrix}\right.
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