Polynomial $ p(x) $ has no zeros.
Step 1:
Get rid of fractions by multipling equation by $ \color{blue}{ 4 } $.
$$ \begin{aligned} -\frac{4}{4}x^3+\frac{2}{2}x^3-7 & = 0 ~~~ / \cdot \color{blue}{ 4 } \\[1 em] -\cancel{4x^3}+ \cancel{4x^3}-28 & = 0 \end{aligned} $$Step 2:
Combine like terms:
$$ \, \color{blue}{ -\cancel{4x^3}} \,+ \, \color{blue}{ \cancel{4x^3}} \,-28 = -28 $$Step 3:
Equation $ -28 = 0 $ has no solutions.