Find roots of polynomial $$ p(x) = 5+12x+3x $$

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

$$ \begin{aligned}x &= -\frac{ 1 }{ 3 } \end{aligned} $$

Step 1:

Combine like terms:

$$ 5+ \color{blue}{12x} + \color{blue}{3x} = \color{blue}{15x} +5 $$

Step 2:

$$ \begin{aligned} 15x+5 & = 0 \\[1 em] 15 \cdot x & = -5 \\[1 em] x & = - \frac{ 5 }{ 15 } \\[1 em] x & = - \frac{ 5 : 5 }{ 15 : 5} \\[1 em] x & = -\frac{ 1 }{ 3 } \end{aligned} $$

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