Find roots of polynomial $$ p(x) = 6x+6x-23x-12 $$

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

$$ \begin{aligned}x &= -\frac{ 12 }{ 11 } \end{aligned} $$

Step 1:

Combine like terms:

$$ \color{blue}{6x} + \color{red}{6x} \color{red}{-23x} -12 = \color{red}{-11x} -12 $$

Step 2:

$$ \begin{aligned} -11x-12 & = 0 \\[1 em] -11 \cdot x & = 12 \\[1 em] x & = \frac{ 12 }{ -11 } \end{aligned} $$

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