$$\left. \begin{array} { l } { A = ( 2 x + 3 ) ^ { 3 } \quad B = ( x - 2 ) ^ { 3 } } \\ { C = ( 1 - \sqrt { 2 } ) ( 1 + \sqrt { 2 } ) + ( 1 + \sqrt { 2 } ) \right.$$
$\left\{\begin{matrix}x=\frac{-3+B^{-\frac{1}{3}}\sqrt[3]{A}}{2}\text{; }x=\frac{e^{\frac{2\pi i}{3}}B^{-\frac{1}{3}}\sqrt[3]{A}-3}{2}\text{; }x=\frac{e^{\frac{4\pi i}{3}}B^{-\frac{1}{3}}\sqrt[3]{A}-3}{2}\text{, }&B\neq 0\\x\in \mathrm{C}\text{, }&A=0\text{ and }B=0\end{matrix}\right.$
$\left\{\begin{matrix}x=\frac{\sqrt[3]{\frac{A}{B}}-3}{2}\text{, }&B\neq 0\\x\in \mathrm{R}\text{, }&A=0\text{ and }B=0\end{matrix}\right.$