The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= 1.3675\\[1 em]x_2 &= -3.2175 \end{aligned} $$Step 1:
Get rid of fractions by multipling equation by $ \color{blue}{ 10 } $.
$$ \begin{aligned} 10x^2+\frac{185}{10}x-44 & = 0 ~~~ / \cdot \color{blue}{ 10 } \\[1 em] 100x^2+185x-440 & = 0 \end{aligned} $$Step 2:
The solutions of $ 100x^2+185x-440 = 0 $ are: $ x = -\dfrac{ 37 }{ 40 }-\dfrac{\sqrt{ 8409 }}{ 40 } ~ \text{and} ~ x = -\dfrac{ 37 }{ 40 }+\dfrac{\sqrt{ 8409 }}{ 40 }$.
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