Question

$$\left. \begin{array} { l } { ( x ) = x ^ { 2 } + x ^ { 3 } + y = x + 3 x - 8 y = 0 y = 0 } \\ { \frac { x } { x + 15 x + 1 } + \frac { x + 1 } { x ( x ) + y x + y } + y ^ { 2 } + y \right.$$

Solve for x (complex solution)

$x=-\frac{\sqrt[3]{2}\left(1+\sqrt{3}i\right)\left(3\sqrt{3\left(27y-5\right)\left(y+1\right)}-27y-11\right)^{-\frac{1}{3}}\left(\sqrt[3]{2}\left(-\sqrt{3}i-1\right)\left(3\sqrt{3\left(27y-5\right)\left(y+1\right)}-27y-11\right)^{\frac{2}{3}}+2^{\frac{2}{3}}\left(-\sqrt{3}i+1\right)\sqrt[3]{3\sqrt{3\left(27y-5\right)\left(y+1\right)}-27y-11}+16\right)}{24}$
$x=\frac{2^{\frac{2}{3}}\left(3\sqrt{3\left(27y-5\right)\left(y+1\right)}-27y-11\right)^{-\frac{1}{3}}\left(\left(3\sqrt{3\left(27y-5\right)\left(y+1\right)}-27y-11\right)^{\frac{2}{3}}-\sqrt[3]{2\left(3\sqrt{3\left(27y-5\right)\left(y+1\right)}-27y-11\right)}+4\times 2^{\frac{2}{3}}\right)}{6}$
$x=-\frac{\sqrt[3]{2}\left(-\sqrt{3}i+1\right)\left(3\sqrt{3\left(27y-5\right)\left(y+1\right)}-27y-11\right)^{-\frac{1}{3}}\left(\sqrt[3]{2}\left(-1+\sqrt{3}i\right)\left(3\sqrt{3\left(27y-5\right)\left(y+1\right)}-27y-11\right)^{\frac{2}{3}}+2^{\frac{2}{3}}\left(1+\sqrt{3}i\right)\sqrt[3]{3\sqrt{3\left(27y-5\right)\left(y+1\right)}-27y-11}+16\right)}{24}$