Solve for x (complex solution)
\left\{\begin{matrix}x=\frac{\sqrt{1-4y-4y^{2}}+1}{2\left(y+1\right)}\text{; }x=\frac{-\sqrt{1-4y-4y^{2}}+1}{2\left(y+1\right)}\text{, }&y\neq -1\\x=-1\text{, }&y=-1\end{matrix}\right.
Solve for y (complex solution)
y=-\frac{x\left(x-1\right)}{x^{2}+1}
x\neq -i\text{ and }x\neq i
Solve for x
\left\{\begin{matrix}x=\frac{\sqrt{1-4y-4y^{2}}+1}{2\left(y+1\right)}\text{; }x=\frac{-\sqrt{1-4y-4y^{2}}+1}{2\left(y+1\right)}\text{, }&y\neq -1\text{ and }y\geq \frac{-\sqrt{2}-1}{2}\text{ and }y\leq \frac{\sqrt{2}-1}{2}\\x=-1\text{, }&y=-1\end{matrix}\right.
Solve for y
y=-\frac{x\left(x-1\right)}{x^{2}+1}
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