Find roots of polynomial $$ p(x) = 1+x+x $$

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

$$ \begin{aligned}x &= -\frac{ 1 }{ 2 } \end{aligned} $$

Step 1:

Combine like terms:

$$ 1+ \color{blue}{x} + \color{blue}{x} = \color{blue}{2x} +1 $$

Step 2:

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

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