Solve x^3-18x^2+992-162=0

$$x ^ { 3 } - 18 x ^ { 2 } + 992 - 162 = 0$$

Solve for x (complex solution)

$$x=\frac{\sqrt{3}i\sqrt[3]{-199+\sqrt{7055}i}}{2}-18\sqrt{3}i\left(-199+\sqrt{7055}i\right)^{-\frac{1}{3}}-\frac{\sqrt[3]{-199+\sqrt{7055}i}}{2}-18\left(-199+\sqrt{7055}i\right)^{-\frac{1}{3}}+6\approx -5.89381256-4.440892099 \cdot 10^{-16}i$$

$$x=\sqrt[3]{-199+\sqrt{7055}i}+36\left(-199+\sqrt{7055}i\right)^{-\frac{1}{3}}+6\approx 13.326368888-1.776356839 \cdot 10^{-15}i$$

$$x=-\frac{\sqrt{3}i\sqrt[3]{-199+\sqrt{7055}i}}{2}+18\sqrt{3}i\left(-199+\sqrt{7055}i\right)^{-\frac{1}{3}}-\frac{\sqrt[3]{-199+\sqrt{7055}i}}{2}-18\left(-199+\sqrt{7055}i\right)^{-\frac{1}{3}}+6\approx 10.567443673+2.220446049 \cdot 10^{-15}i$$

Solve for x

$$x=6\left(-2\cos(\frac{\arccos(\frac{199}{216})}{3})+1\right)\approx -5.89381256$$

$$x=6\left(\sqrt{3}\sin(\frac{\arccos(\frac{199}{216})}{3})+\cos(\frac{\arccos(\frac{199}{216})}{3})+1\right)\approx 13.326368888$$

$$x=6\left(-\sqrt{3}\sin(\frac{\arccos(\frac{199}{216})}{3})+\cos(\frac{\arccos(\frac{199}{216})}{3})+1\right)\approx 10.567443673$$