Find roots of polynomial $$ p(x) = -\frac{1}{2}k-\frac{2}{4} $$

The root of polynomial $ p(k) $ is:

$$ \begin{aligned}k &= -1 \end{aligned} $$

Step 1:

Get rid of fractions by multipling equation by $ \color{blue}{ 4 } $.

$$ \begin{aligned} -\frac{1}{2}k-\frac{2}{4} & = 0 ~~~ / \cdot \color{blue}{ 4 } \\[1 em] -2k-2 & = 0 \end{aligned} $$

Step 2:

$$ \begin{aligned} -2k-2 & = 0 \\[1 em] -2 \cdot k & = 2 \\[1 em] k & = \frac{ 2 }{ -2 } \\[1 em] k & = \frac{ 2 : 2 }{ -2 : 2} \\[1 em] k & = -1 \end{aligned} $$

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