The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= 23\\[1 em]x_2 &= -\frac{ 29 }{ 7 } \end{aligned} $$The solutions of $ 7x^2-132x-667 = 0 $ are: $ x = -\dfrac{ 29 }{ 7 } ~ \text{and} ~ x = 23$.
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