Solve 2x^3+6x^2-2x-3=0

$$2 x ^ { 3 } + 6 x ^ { 2 } - 2 x - 3 = 0$$

Solve for x (complex solution)

$$x=-\frac{7776\sqrt[3]{36}\left(-27+\sqrt{2343}i\right)^{-\frac{1}{3}}\left(1+\sqrt{3}i\right)\left(6\left(3\sqrt[3]{-27+\sqrt{2343}i}\left(-\sqrt[6]{48}i\sqrt[3]{-27+\sqrt{2343}i}-\sqrt[6]{972}\times \left(2i\right)\right)+96\right)+6\times 36^{\frac{2}{3}}\sqrt[3]{-27+\sqrt{2343}i}-6\sqrt[3]{36}\left(-27+\sqrt{2343}i\right)^{\frac{2}{3}}\right)}{6718464}\approx -3.166207394+4.158640612 \cdot 10^{-16}i$$

$$x=\frac{36^{\frac{2}{3}}\left(-27+\sqrt{2343}i\right)^{-\frac{1}{3}}\left(3\left(-27+\sqrt{2343}i\right)^{\frac{2}{3}}-3\sqrt[3]{36\left(-27+\sqrt{2343}i\right)}+4\times 36^{\frac{2}{3}}\right)}{108}\approx 0.776399554-6.579099405 \cdot 10^{-17}i$$

$$x=-\frac{7776\sqrt[3]{36}\left(-27+\sqrt{2343}i\right)^{-\frac{1}{3}}\left(-\sqrt{3}i+1\right)\left(6\left(3\sqrt[3]{-27+\sqrt{2343}i}\left(\sqrt[6]{48}i\sqrt[3]{-27+\sqrt{2343}i}+\sqrt[6]{972}\times \left(2i\right)\right)+96\right)+6\times 36^{\frac{2}{3}}\sqrt[3]{-27+\sqrt{2343}i}-6\sqrt[3]{36}\left(-27+\sqrt{2343}i\right)^{\frac{2}{3}}\right)}{6718464}\approx -0.61019216-1.732766922 \cdot 10^{-17}i$$

Solve for x

$$x=\frac{-4\sqrt{3}\cos(\frac{\arccos(\frac{9\sqrt{3}}{32})}{3})-3}{3}\approx -3.166207394$$

$$x=\frac{2\sqrt{3}\cos(\frac{\arccos(\frac{9\sqrt{3}}{32})}{3})+6\sin(\frac{\arccos(\frac{9\sqrt{3}}{32})}{3})-3}{3}\approx 0.776399554$$

$$x=\frac{2\sqrt{3}\cos(\frac{\arccos(\frac{9\sqrt{3}}{32})}{3})-6\sin(\frac{\arccos(\frac{9\sqrt{3}}{32})}{3})-3}{3}\approx -0.61019216$$