The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= -0.686\\[1 em]x_2 &= 0.3586+0.3804i\\[1 em]x_3 &= 0.3586-0.3804i \end{aligned} $$Polynomial $ 32x^3-x^2-7x+6 $ has no rational roots that can be found using Rational Root Test, so the roots were found using qubic formulas.