Polynomial $ p(x) $ has no zeros.
Step 1:
Get rid of fractions by multipling equation by $ \color{blue}{ 2 } $.
$$ \begin{aligned} 2+\frac{2}{2} & = 0 ~~~ / \cdot \color{blue}{ 2 } \\[1 em] 4+2 & = 0 \end{aligned} $$Step 2:
Combine like terms:
$$ \color{blue}{4} + \color{blue}{2} = \color{blue}{6} $$Step 3:
Equation $ 6 = 0 $ has no solutions.