Find roots of polynomial $$ p(x) = 12x+24x+12x+10 $$

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

$$ \begin{aligned}x &= -\frac{ 5 }{ 24 } \end{aligned} $$

Step 1:

Combine like terms:

$$ \color{blue}{12x} + \color{red}{24x} + \color{red}{12x} +10 = \color{red}{48x} +10 $$

Step 2:

$$ \begin{aligned} 48x+10 & = 0 \\[1 em] 48 \cdot x & = -10 \\[1 em] x & = - \frac{ 10 }{ 48 } \\[1 em] x & = - \frac{ 10 : 2 }{ 48 : 2} \\[1 em] x & = -\frac{ 5 }{ 24 } \end{aligned} $$

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