The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= 23.9297\\[1 em]x_2 &= -13.9297 \end{aligned} $$The solutions of $ 30x^2-300x-10000 = 0 $ are: $ x = 5-\dfrac{ 5 \sqrt{ 129}}{ 3 } ~ \text{and} ~ x = 5+\dfrac{ 5 \sqrt{ 129}}{ 3 }$.
You can use step-by-step quadratic equation solver to see a detailed explanation on how to solve this quadratic equation.