Решите уравнение: x^3+6x^2-x-6=0.

\[x^{3} + 6x^{2} - x - 6 = 0\]

\[x^{2}(x + 6) - (x + 6) = 0\]

\[(x + 6)\left( x^{2} - 1 \right) = 0\]

\[1)\ x + 6 = 0\]

\[x = - 6.\]

\[2)\ x^{2} - 1 = 0\]

\[x^{2} = 1\]

\[x = \pm 1.\]

\[Ответ:x = - 6;\ \ x = \pm 1.\]