Solve frac{sqrt{5}}{5}+x-9/2x-frac{1{2}y+(3x-5+5y)1/5}=14x-4/15

$$\frac { \sqrt { 5 } } { 5 } + \frac { x - 9 } { 2 x - \frac { 1 } { 2 } y + ( 3 x - 5 + 5 y ) \frac { 1 } { 5 } } = \frac { 14 x - 4 } { 15 }$$

Solve for x (complex solution)

$$\left\{\begin{matrix}\\x=-\frac{\sqrt{1225y^{2}+2730\sqrt{5}y-6510y+4446\sqrt{5}-459546}}{364}-\frac{5y}{52}+\frac{3\sqrt{5}}{28}+\frac{197}{364}\text{, }&\text{unconditionally}\\x=\frac{\sqrt{1225y^{2}+2730\sqrt{5}y-6510y+4446\sqrt{5}-459546}}{364}-\frac{5y}{52}+\frac{3\sqrt{5}}{28}+\frac{197}{364}\text{, }&y\neq -\frac{224}{5}\end{matrix}\right.$$

Solve for x

$$\left\{\begin{matrix}x=\frac{\sqrt{1225y^{2}+2730\sqrt{5}y-6510y+4446\sqrt{5}-459546}}{364}-\frac{5y}{52}+\frac{3\sqrt{5}}{28}+\frac{197}{364}\text{, }&\left(y\geq \frac{2\sqrt{4758-117\sqrt{5}}}{7}-\frac{39\sqrt{5}}{35}+\frac{93}{35}\text{ and }y\geq \frac{\sqrt{2331420000-57330000\sqrt{5}}}{2450}-\frac{39\sqrt{5}}{35}+\frac{93}{35}\right)\text{ or }\left(y\neq -\frac{224}{5}\text{ and }y\leq -\frac{2\sqrt{4758-117\sqrt{5}}}{7}-\frac{39\sqrt{5}}{35}+\frac{93}{35}\text{ and }y\leq -\frac{\sqrt{2331420000-57330000\sqrt{5}}}{2450}-\frac{39\sqrt{5}}{35}+\frac{93}{35}\right)\\x=-\frac{\sqrt{1225y^{2}+2730\sqrt{5}y-6510y+4446\sqrt{5}-459546}}{364}-\frac{5y}{52}+\frac{3\sqrt{5}}{28}+\frac{197}{364}\text{, }&\left(y\geq \frac{2\sqrt{4758-117\sqrt{5}}}{7}-\frac{39\sqrt{5}}{35}+\frac{93}{35}\text{ and }y\geq \frac{\sqrt{2331420000-57330000\sqrt{5}}}{2450}-\frac{39\sqrt{5}}{35}+\frac{93}{35}\right)\text{ or }\left(y\leq -\frac{2\sqrt{4758-117\sqrt{5}}}{7}-\frac{39\sqrt{5}}{35}+\frac{93}{35}\text{ and }y\leq -\frac{\sqrt{2331420000-57330000\sqrt{5}}}{2450}-\frac{39\sqrt{5}}{35}+\frac{93}{35}\right)\end{matrix}\right.$$

Solve for y

$$y=-\frac{2\left(-182x^{2}+39\sqrt{5}x+197x-15\sqrt{5}-695\right)}{5\left(-14x+3\sqrt{5}+4\right)}$$

$$x\neq 9\text{ and }x\neq \frac{3\sqrt{5}}{14}+\frac{2}{7}$$