The root of polynomial $ p(x) $ is:
$$ \begin{aligned}x &= \frac{ 1910 }{ 55623 } \end{aligned} $$Step 1:
Get rid of fractions by multipling equation by $ \color{blue}{ 10 } $.
$$ \begin{aligned} -\frac{55623}{10}x+191 & = 0 ~~~ / \cdot \color{blue}{ 10 } \\[1 em] -55623x+1910 & = 0 \end{aligned} $$Step 2:
$$ \begin{aligned} -55623x+1910 & = 0 \\[1 em] -55623 \cdot x & = -1910 \\[1 em] x & = - \frac{ 1910 }{ -55623 } \\[1 em] x & = \frac{ 1910 }{ 55623 } \end{aligned} $$