The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= 1.5272\\[1 em]x_2 &= 0.1871 \end{aligned} $$The solutions of $ 7x^2-12x+2 = 0 $ are: $ x = \dfrac{ 6 }{ 7 }-\dfrac{\sqrt{ 22 }}{ 7 } ~ \text{and} ~ x = \dfrac{ 6 }{ 7 }+\dfrac{\sqrt{ 22 }}{ 7 }$.
You can use step-by-step quadratic equation solver to see a detailed explanation on how to solve this quadratic equation.