Solve for a
\left\{\begin{matrix}a=-\sqrt{1-y+2x+2dx-x^{2}}-1\text{; }a=\sqrt{1-y+2x+2dx-x^{2}}-1\text{, }&y\geq 0\text{ and }y\leq 1+2x+2dx-x^{2}\\a=-\sqrt{1+y+2x+2dx-x^{2}}-1\text{; }a=\sqrt{1+y+2x+2dx-x^{2}}-1\text{, }&y\geq -\left(1+2x+2dx-x^{2}\right)\text{ and }y\geq 0\end{matrix}\right.
Solve for d
\left\{\begin{matrix}d\in \mathrm{R}\text{, }&\left(y=a^{2}+2a\text{ and }x=0\text{ and }a\geq 0\right)\text{ or }\left(y=a^{2}+2a\text{ and }x=0\text{ and }a\leq -2\right)\text{ or }\left(y=-\left(a^{2}+2a\right)\text{ and }x=0\text{ and }a\leq 0\text{ and }a\geq -2\right)\\d=\frac{x^{2}-2x-y+a^{2}+2a}{2x}\text{; }d=\frac{x^{2}-2x+y+a^{2}+2a}{2x}\text{, }&x\neq 0\text{ and }y\geq 0\end{matrix}\right.
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