The roots of polynomial $ p(m) $ are:
$$ \begin{aligned}m_1 &= 0.827\\[1 em]m_2 &= -1.4588\\[1 em]m_3 &= -0.4341+1.2122i\\[1 em]m_4 &= -0.4341-1.2122i \end{aligned} $$Polynomial $ 2m^4+3m^3+2m^2-4 $ has no rational roots that can be found using Rational Root Test, so the roots were found using quartic formulas.