Solve y/x+2-2x/y+6=10

$$\frac { y } { x + 2 } - \frac { 2 x } { y + 6 } = 10$$

Solve for x (complex solution)

$$\left\{\begin{matrix}x=\frac{\sqrt{27y^{2}+292y+784}}{2}-\frac{5y}{2}-16\text{, }&y\neq 0\text{ and }y\neq -6\\x=-\frac{\sqrt{27y^{2}+292y+784}}{2}-\frac{5y}{2}-16\text{, }&y\neq -6\end{matrix}\right.$$

Solve for x

$$\left\{\begin{matrix}x=\frac{\sqrt{27y^{2}+292y+784}}{2}-\frac{5y}{2}-16\text{, }&\left(y\leq \frac{-2\sqrt{37}-146}{27}\text{ and }y\neq -6\right)\text{ or }\left(y\neq 0\text{ and }y\geq \frac{2\sqrt{37}-146}{27}\right)\\x=-\frac{\sqrt{27y^{2}+292y+784}}{2}-\frac{5y}{2}-16\text{, }&\left(y\neq -6\text{ and }y\leq \frac{-2\sqrt{37}-146}{27}\right)\text{ or }y\geq \frac{2\sqrt{37}-146}{27}\end{matrix}\right.$$

Solve for y

$$\left\{\begin{matrix}y=-\sqrt{27x^{2}+134x+169}+5x+7\text{, }&x\neq -2\text{ and }x\neq 0\\y=\sqrt{27x^{2}+134x+169}+5x+7\text{, }&x\neq -2\end{matrix}\right.$$