The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= -0.54\\[1 em]x_2 &= 1.1271+1.1728i\\[1 em]x_3 &= 1.1271-1.1728i \end{aligned} $$Polynomial $ 7x^3-12x^2+10x+10 $ has no rational roots that can be found using Rational Root Test, so the roots were found using qubic formulas.