The roots of polynomial $ p(d) $ are:
$$ \begin{aligned}d_1 &= -0.2767\\[1 em]d_2 &= 0.9717+0.5102i\\[1 em]d_3 &= 0.9717-0.5102i \end{aligned} $$Polynomial $ 3d^3-5d^2+2d+1 $ has no rational roots that can be found using Rational Root Test, so the roots were found using qubic formulas.