The root of polynomial $ p(x) $ is:
$$ \begin{aligned}x &= \dfrac{ 17 }{ 24 } \end{aligned} $$Step 1:
Combine like terms:
$$ 17 \color{blue}{-35x} + \color{blue}{11x} = \color{blue}{-24x} +17 $$Step 2:
$$ \begin{aligned} -24x+17 & = 0 \\[1 em] -24 \cdot x & = -17 \\[1 em] x & = - \frac{ 17 }{ -24 } \\[1 em] x & = \frac{ 17 }{ 24 } \end{aligned} $$