Lời giải:
$x^3+5x^2+6x=0$
$\Leftrightarrow x(x^2+5x+6)=0$
$\Leftrightarrow x(x^2+2x+3x+6)=0$
$\Leftrightarrow x[x(x+2)+3(x+2)]=0$
$\Leftrightarrow x(x+2)(x+3)=0$
\(\Rightarrow \left[\begin{matrix} x=0\\ x+2=0\\ x+3=0\end{matrix}\right.\Rightarrow \left[\begin{matrix} x=0\\ x=-2\\ x=-3\end{matrix}\right.\)