Solve for x (complex solution)
x=\sqrt{1-2z-z^{2}-4y-y^{2}}+1
x=-\sqrt{1-2z-z^{2}-4y-y^{2}}+1
Solve for y (complex solution)
y=\sqrt{4-2z-z^{2}+2x-x^{2}}-2
y=-\sqrt{4-2z-z^{2}+2x-x^{2}}-2
Solve for x
x=\sqrt{1-2z-z^{2}-4y-y^{2}}+1
x=-\sqrt{1-2z-z^{2}-4y-y^{2}}+1\text{, }\left(z>-\sqrt{6}-1\text{ and }z<\sqrt{6}-1\text{ and }y\leq \sqrt{5-2z-z^{2}}-2\text{ and }y\geq -\sqrt{5-2z-z^{2}}-2\right)\text{ or }\left(z\geq -\sqrt{6}-1\text{ and }z\leq \sqrt{6}-1\text{ and }y=-2\right)
Solve for y
y=\sqrt{4-2z-z^{2}+2x-x^{2}}-2
y=-\sqrt{4-2z-z^{2}+2x-x^{2}}-2\text{, }\left(z>-\sqrt{6}-1\text{ and }z<\sqrt{6}-1\text{ and }x\leq \sqrt{5-2z-z^{2}}+1\text{ and }x\geq -\sqrt{5-2z-z^{2}}+1\right)\text{ or }\left(z\geq -\sqrt{6}-1\text{ and }z\leq \sqrt{6}-1\text{ and }x=1\right)
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