The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= 2.7294\\[1 em]x_2 &= -5.1294 \end{aligned} $$The solutions of $ 5x^2+12x-70 = 0 $ are: $ x = -\dfrac{ 6 }{ 5 }-\dfrac{\sqrt{ 386 }}{ 5 } ~ \text{and} ~ x = -\dfrac{ 6 }{ 5 }+\dfrac{\sqrt{ 386 }}{ 5 }$.
You can use step-by-step quadratic equation solver to see a detailed explanation on how to solve this quadratic equation.