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 } $.
$$ \begin{aligned} x+\frac{1}{2}x & = 0 ~~~ / \cdot \color{blue}{ 2 } \\[1 em] 2x+x & = 0 \end{aligned} $$Step 2:
Combine like terms:
$$ \color{blue}{2x} + \color{blue}{x} = \color{blue}{3x} $$Step 3:
$$ \begin{aligned} 3x & = 0 \\[1 em] x & = 0 \end{aligned} $$