The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= 2.3589\\[1 em]x_2 &= -6.3589 \end{aligned} $$The solutions of $ 2x^2+8x-30 = 0 $ are: $ x = -2-\sqrt{ 19 } ~ \text{and} ~ x = -2+\sqrt{ 19 }$.
You can use step-by-step quadratic equation solver to see a detailed explanation on how to solve this quadratic equation.