Find roots of polynomial $$ p(x) = 92+70x+20x $$

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

$$ \begin{aligned}x &= -\frac{ 46 }{ 45 } \end{aligned} $$

Step 1:

Combine like terms:

$$ 92+ \color{blue}{70x} + \color{blue}{20x} = \color{blue}{90x} +92 $$

Step 2:

$$ \begin{aligned} 90x+92 & = 0 \\[1 em] 90 \cdot x & = -92 \\[1 em] x & = - \frac{ 92 }{ 90 } \\[1 em] x & = - \frac{ 92 : 2 }{ 90 : 2} \\[1 em] x & = -\frac{ 46 }{ 45 } \end{aligned} $$

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