The roots of polynomial $ p(m) $ are:
$$ \begin{aligned}m_1 &= -0.9124\\[1 em]m_2 &= 2.8456\\[1 em]m_3 &= -6.9333 \end{aligned} $$Polynomial $ m^3+5m^2-16m-18 $ has no rational roots that can be found using Rational Root Test, so the roots were found using qubic formulas.