The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= 4.7367\\[1 em]x_2 &= -2.7433+4.3402i\\[1 em]x_3 &= -2.7433-4.3402i \end{aligned} $$Polynomial $ 8x^3+6x^2+3x-999 $ has no rational roots that can be found using Rational Root Test, so the roots were found using qubic formulas.