Solve for L (complex solution)
\left\{\begin{matrix}L=0\text{, }&arg(R)\geq \pi \text{ or }R=0\\L=\frac{8R}{5}\text{, }&arg(2L-2R)<\pi \end{matrix}\right.
Solve for R (complex solution)
\left\{\begin{matrix}R=\frac{5L}{8}\text{, }&L=0\text{ or }arg(L)<\pi \\R\in \mathrm{C}\text{, }&L=0\text{ and }arg(R)\geq \pi \end{matrix}\right.
Solve for L
\left\{\begin{matrix}L=0\text{, }&R\leq 0\\L=\frac{8R}{5}\text{, }&R\geq 0\end{matrix}\right.
Solve for R
\left\{\begin{matrix}R=\frac{5L}{8}\text{, }&L>0\\R\leq 0\text{, }&L=0\end{matrix}\right.
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