Find roots of polynomial $$ p(x) = 3x+12x+11x+6 $$

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

$$ \begin{aligned}x &= -\frac{ 3 }{ 13 } \end{aligned} $$

Step 1:

Combine like terms:

$$ \color{blue}{3x} + \color{red}{12x} + \color{red}{11x} +6 = \color{red}{26x} +6 $$

Step 2:

$$ \begin{aligned} 26x+6 & = 0 \\[1 em] 26 \cdot x & = -6 \\[1 em] x & = - \frac{ 6 }{ 26 } \\[1 em] x & = - \frac{ 6 : 2 }{ 26 : 2} \\[1 em] x & = -\frac{ 3 }{ 13 } \end{aligned} $$

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