The root of polynomial $ p(x) $ is:
$$ \begin{aligned}x &= \dfrac{ 3 }{ 2 } \end{aligned} $$Step 1:
Combine like terms:
$$ \color{blue}{6x} + \color{blue}{2x} \color{red}{-24} + \color{red}{12} = \color{blue}{8x} \color{red}{-12} $$Step 2:
$$ \begin{aligned} 8x-12 & = 0 \\[1 em] 8 \cdot x & = 12 \\[1 em] x & = \frac{ 12 }{ 8 } \\[1 em] x & = \frac{ 12 : 4 }{ 8 : 4} \\[1 em] x & = \frac{ 3 }{ 2 } \end{aligned} $$