Find roots of polynomial $$ p(x) = -8x+3x+7 $$

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

$$ \begin{aligned}x &= \frac{ 7 }{ 5 } \end{aligned} $$

Step 1:

Combine like terms:

$$ \color{blue}{-8x} + \color{blue}{3x} +7 = \color{blue}{-5x} +7 $$

Step 2:

$$ \begin{aligned} -5x+7 & = 0 \\[1 em] -5 \cdot x & = -7 \\[1 em] x & = - \frac{ 7 }{ -5 } \\[1 em] x & = \frac{ 7 }{ 5 } \end{aligned} $$

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