The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= 0.4\\[1 em]x_2 &= -0.7629\\[1 em]x_3 &= -2.2673\\[1 em]x_4 &= -0.1975+0.7484i\\[1 em]x_5 &= -0.1975-0.7484i\\[1 em]x_6 &= 0.4189+0.7605i\\[1 em]x_7 &= 0.4189-0.7605i \end{aligned} $$Polynomial $ 16x^7+35x^6+6x^5+25x^4+12x^3+6x^2+6x-5 $ has no rational roots that can be found using Rational Root Test, so the roots were found using Newton method.