Solve for p (complex solution)
\left\{\begin{matrix}p=-x^{-\frac{1}{2}}q\text{; }p=x^{-\frac{1}{2}}q\text{, }&x\neq 0\\p\in \mathrm{C}\text{, }&x=-1\text{ or }\left(q=0\text{ and }x=0\right)\end{matrix}\right.
Solve for q (complex solution)
\left\{\begin{matrix}\\q=-\sqrt{x}p\text{; }q=\sqrt{x}p\text{, }&\text{unconditionally}\\q\in \mathrm{C}\text{, }&x=-1\end{matrix}\right.
Solve for p
\left\{\begin{matrix}p=\frac{q}{\sqrt{x}}\text{; }p=-\frac{q}{\sqrt{x}}\text{, }&x>0\\p=0\text{, }&q=0\text{ and }x\neq 0\\p\in \mathrm{R}\text{, }&x=-1\text{ or }\left(q=0\text{ and }x=0\right)\end{matrix}\right.
Solve for q
\left\{\begin{matrix}q=\sqrt{x}p\text{; }q=-\sqrt{x}p\text{, }&x\geq 0\\q=0\text{, }&p=0\\q\in \mathrm{R}\text{, }&x=-1\end{matrix}\right.
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