Solve x^3+y^3+2018=30y^2-300y+301

$$x ^ { 3 } + y ^ { 3 } + 2018 = 30 y ^ { 2 } - 300 y + 301$$

Solve for x (complex solution)

$$x=-\sqrt[3]{y^{3}-30y^{2}+300y+1717}$$

$$x=e^{\frac{\pi i}{3}}\sqrt[3]{y^{3}-30y^{2}+300y+1717}$$

$$x=e^{\frac{5\pi i}{3}}\sqrt[3]{y^{3}-30y^{2}+300y+1717}$$

Solve for y (complex solution)

$$\left\{\begin{matrix}y=10\text{, }&x=\sqrt[3]{2717}e^{\frac{5\pi i}{3}}\text{ or }x=-\sqrt[3]{2717}\text{ or }x=\sqrt[3]{2717}e^{\frac{\pi i}{3}}\\y=\frac{\left(-1+\sqrt{3}i\right)\sqrt[3]{-x^{3}-2717}+20}{2}\text{; }y=\sqrt[3]{-x^{3}-2717}+10\text{; }y=\frac{-\sqrt{3}i\sqrt[3]{-x^{3}-2717}-\sqrt[3]{-x^{3}-2717}+20}{2}\text{, }&x\neq -\sqrt[3]{2717}\text{ and }x\neq \sqrt[3]{2717}e^{\frac{\pi i}{3}}\text{ and }x\neq \sqrt[3]{2717}e^{\frac{5\pi i}{3}}\end{matrix}\right.$$

Solve for x

$$x=-\sqrt[3]{y^{3}-30y^{2}+300y+1717}$$

Solve for y

$$y=\frac{2^{\frac{2}{3}}\left(\sqrt[3]{2|\frac{x^{3}+2717}{2}|-x^{3}-2717}+\sqrt[3]{-2|\frac{x^{3}+2717}{2}|-x^{3}-2717}+10\sqrt[3]{2}\right)}{2}$$