The root of polynomial $ p(x) $ is:
$$ \begin{aligned}x &= 0 \end{aligned} $$Step 1:
Get rid of fractions by multipling equation by $ \color{blue}{ 2 } $.
$$ \begin{aligned} -\frac{1}{2}x-\frac{3}{2}x-\frac{5}{2}x & = 0 ~~~ / \cdot \color{blue}{ 2 } \\[1 em] -x-3x-5x & = 0 \end{aligned} $$Step 2:
Combine like terms:
$$ \color{blue}{-x} \color{red}{-3x} \color{red}{-5x} = \color{red}{-9x} $$Step 3:
$$ \begin{aligned} -9x & = 0 \\[1 em] x & = 0 \end{aligned} $$