The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= -1+\frac{ 2 \sqrt{ 3}}{ 3 }i\\[1 em]x_2 &= -1-2 \frac{\sqrt{ 3 }}{ 3 }i \end{aligned} $$The solutions of $ 3x^2+6x+7 = 0 $ are: $ x = -1+\dfrac{ 2 \sqrt{ 3}}{ 3 }i ~ \text{and} ~ x = -1-\dfrac{ 2 \sqrt{ 3}}{ 3 }i$.
You can use step-by-step quadratic equation solver to see a detailed explanation on how to solve this quadratic equation.