\(\begin{array}{l}
24{x^2} - 8x = 0\\
\Leftrightarrow 8x\left( {x - 3} \right) = 0\\
\Leftrightarrow \left[ \begin{array}{l}
x = 0\\
x - 3 = 0
\end{array} \right. \Leftrightarrow \left[ \begin{array}{l}
x = 0\\
x = 3
\end{array} \right.\\
{x^3} - 2{x^2} + x = 0\\
\Leftrightarrow x\left( {{x^2} - 2x + 1} \right) = 0\\
\Leftrightarrow x{\left( {x - 1} \right)^2} = 0\\
\Leftrightarrow \left[ \begin{array}{l}
x = 0\\
x - 1 = 0
\end{array} \right. \Leftrightarrow \left[ \begin{array}{l}
x = 0\\
x = 1
\end{array} \right.\\
{x^3} - 13x = 0\\
\Leftrightarrow x\left( {{x^2} - 13} \right) = 0\\
\Leftrightarrow \left[ \begin{array}{l}
x = 0\\
{x^2} = 13
\end{array} \right. \Leftrightarrow \left[ \begin{array}{l}
x = 0\\
x = \pm \sqrt {13}
\end{array} \right.
\end{array}\)
