$\left(x-6\right)\left(x^{2}-1\right)=GX\text{ and }GX=\frac{3}{2}$

$x=\frac{2\left(\sqrt{39}\cos(\frac{\arccos(\frac{81\sqrt{39}}{676})}{3})+3\right)}{3}$
$x=\frac{3\sqrt{13}\sin(\frac{\arccos(\frac{81\sqrt{39}}{676})}{3})-\sqrt{39}\cos(\frac{\arccos(\frac{81\sqrt{39}}{676})}{3})+6}{3}$
$x=\frac{-3\sqrt{13}\sin(\frac{\arccos(\frac{81\sqrt{39}}{676})}{3})-\sqrt{39}\cos(\frac{\arccos(\frac{81\sqrt{39}}{676})}{3})+6}{3}\text{, }G=\frac{3}{2X}\text{ and }X\neq 0$