The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= 0.2618\\[1 em]x_2 &= -1.6601\\[1 em]x_3 &= -4.6017 \end{aligned} $$Polynomial $ x^3+6x^2+6x-2 $ has no rational roots that can be found using Rational Root Test, so the roots were found using qubic formulas.