Solve y=(x^3-5x^2)quady=-2

$$y = ( x ^ { 3 } - 5 x ^ { 2 } ) \quad y = - 2$$

Evaluate (complex solution)

$$y=y\left(x-5\right)x^{2}\text{ and }y\left(x-5\right)x^{2}=-2$$

Solve for x

$$x = \frac{2 ^ {\frac{2}{3}} {(\sqrt[3]{3 \sqrt{1581} + 277} + \sqrt[3]{277 - 3 \sqrt{1581}} + 5 \sqrt[3]{2})}}{6} = 5.039377328113846$$

$$y=-2$$

Solve for y

$$y = -\frac{108 \sqrt[3]{2}}{{(\sqrt[3]{3 \sqrt{1581} + 277} + \sqrt[3]{277 - 3 \sqrt{1581}} - 10 \sqrt[3]{2})} {(10 \cdot 2 ^ {\frac{2}{3}} \sqrt[3]{3 \sqrt{1581} + 277} + \sqrt[3]{2} {(3 \sqrt{1581} + 277)} ^ {\frac{2}{3}} + 10 \cdot 2 ^ {\frac{2}{3}} \sqrt[3]{277 - 3 \sqrt{1581}} + \sqrt[3]{2} {(277 - 3 \sqrt{1581})} ^ {\frac{2}{3}} + 150)}} = -2.000000000000036$$

$$x=\sqrt[3]{\frac{\sqrt{1581}}{18}+\frac{277}{54}}+\sqrt[3]{-\frac{\sqrt{1581}}{18}+\frac{277}{54}}+\frac{5}{3}$$