Решите уравнение: 81x^3+18x^2+x=0.

\[81x^{3} + 18x^{2} + x = 0\]

\[x\left( 81x^{2} + 18x + 1 \right) = 0\]

\[x(9x + 1)^{2} = 0\]

\[x = 0;\]

\[9x + 1 = 0\]

\[9x = - 1\]

\[x = - \frac{1}{9}.\]

\[Ответ:x = - \frac{1}{9};x = 0.\]