\[x^{3} + 10x^{2} + 25x = 0\]
\[x\left( x^{2} + 10x + 25 \right) = 0\]
\[x(x + 5)^{2} = 0\]
\[1)\ x = 0.\]
\[2)\ x + 5 = 0\]
\[x = - 5.\]
\[Ответ:x = - 5;x = 0.\]