$$\left. \begin{array} { l } { \quad \frac { 5 x + 6 } { x ^ { 2 } } + \frac { x + 2 y } { x ^ { 2 } } + \frac { x + z } { x y } = 0 } \\ { \frac { y + \right.$$
$\left\{\begin{matrix}x=-\frac{\sqrt{28y^{2}+12yz-24y+z^{2}}}{2}-\frac{z}{2}-3y\text{, }&\left(arg(18-z)\geq \pi \text{ and }z\neq 18\text{ and }y\neq 0\right)\text{ or }\left(y\neq 0\text{ and }y\neq -3\right)\\x=\frac{\sqrt{28y^{2}+12yz-24y+z^{2}}}{2}-\frac{z}{2}-3y\text{, }&\left(z\neq 18\text{ and }y\neq 0\text{ and }arg(z-18)\geq \pi \right)\text{ or }\left(y\neq 0\text{ and }y\neq -3\right)\end{matrix}\right.$
