\[2x^{3} + 3x = 0\]
\[2x\left( x^{2} + 3 \right) = 0\]
\[1)\ 2x = 0\]
\[x = 0.\]
\[2)\ x^{2} + 3 = 0\]
\[x^{2} = - 3\]
\[нет\ корней.\]
\[Ответ:x = 0.\]