Solve for x (complex solution)
x=\frac{\sqrt{91-24z-9z^{2}-18y-9y^{2}}-2}{3}
x=\frac{-\sqrt{91-24z-9z^{2}-18y-9y^{2}}-2}{3}
Solve for y (complex solution)
y=\frac{\sqrt{96-24z-9z^{2}-12x-9x^{2}}}{3}-1
y=-\frac{\sqrt{96-24z-9z^{2}-12x-9x^{2}}}{3}-1
Solve for x
x=\frac{\sqrt{91-24z-9z^{2}-18y-9y^{2}}-2}{3}
x=\frac{-\sqrt{91-24z-9z^{2}-18y-9y^{2}}-2}{3}\text{, }\left(z>\frac{-2\sqrt{29}-4}{3}\text{ and }z<\frac{2\sqrt{29}-4}{3}\text{ and }y\leq \frac{\sqrt{100-24z-9z^{2}}}{3}-1\text{ and }y\geq -\frac{\sqrt{100-24z-9z^{2}}}{3}-1\right)\text{ or }\left(z\geq \frac{-2\sqrt{29}-4}{3}\text{ and }z\leq \frac{2\sqrt{29}-4}{3}\text{ and }y=-1\right)
Solve for y
y=\frac{\sqrt{96-24z-9z^{2}-12x-9x^{2}}}{3}-1
y=-\frac{\sqrt{96-24z-9z^{2}-12x-9x^{2}}}{3}-1\text{, }\left(z>\frac{-2\sqrt{29}-4}{3}\text{ and }z<\frac{2\sqrt{29}-4}{3}\text{ and }x\leq \frac{\sqrt{100-24z-9z^{2}}-2}{3}\text{ and }x\geq \frac{-\sqrt{100-24z-9z^{2}}-2}{3}\right)\text{ or }\left(z\geq \frac{-2\sqrt{29}-4}{3}\text{ and }z\leq \frac{2\sqrt{29}-4}{3}\text{ and }x=-\frac{2}{3}\right)
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