Find roots of polynomial $$ p(x) = 3x-7x+5 $$

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

$$ \begin{aligned}x &= \frac{ 5 }{ 4 } \end{aligned} $$

Step 1:

Combine like terms:

$$ \color{blue}{3x} \color{blue}{-7x} +5 = \color{blue}{-4x} +5 $$

Step 2:

$$ \begin{aligned} -4x+5 & = 0 \\[1 em] -4 \cdot x & = -5 \\[1 em] x & = - \frac{ 5 }{ -4 } \\[1 em] x & = \frac{ 5 }{ 4 } \end{aligned} $$

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