The roots of polynomial $ p(m) $ are:
$$ \begin{aligned}m_1 &= -2.2056\\[1 em]m_2 &= 0.1028+0.6655i\\[1 em]m_3 &= 0.1028-0.6655i \end{aligned} $$Polynomial $ m^3+2m^2+1 $ has no rational roots that can be found using Rational Root Test, so the roots were found using qubic formulas.