The roots of polynomial $ p(x) $ are:
$$ \begin{aligned}x_1 &= 1.977\\[1 em]x_2 &= -0.177 \end{aligned} $$Step 1:
Get rid of fractions by multipling equation by $ \color{blue}{ 100 } $.
$$ \begin{aligned} x^2-\frac{18}{10}x-\frac{35}{100} & = 0 ~~~ / \cdot \color{blue}{ 100 } \\[1 em] 100x^2-180x-35 & = 0 \end{aligned} $$Step 2:
The solutions of $ 100x^2-180x-35 = 0 $ are: $ x = \dfrac{ 9 }{ 10 }-\dfrac{\sqrt{ 29 }}{ 5 } ~ \text{and} ~ x = \dfrac{ 9 }{ 10 }+\dfrac{\sqrt{ 29 }}{ 5 }$.
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