Find roots of polynomial $$ p(x) = -27+405+2240t+3200 $$

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

$$ \begin{aligned}t &= -\frac{ 1789 }{ 1120 } \end{aligned} $$

Step 1:

Combine like terms:

$$ \color{blue}{-27} + \color{red}{405} +2240t+ \color{red}{3200} = 2240t+ \color{red}{3578} $$

Step 2:

$$ \begin{aligned} 2240t+3578 & = 0 \\[1 em] 2240 \cdot t & = -3578 \\[1 em] t & = - \frac{ 3578 }{ 2240 } \\[1 em] t & = - \frac{ 3578 : 2 }{ 2240 : 2} \\[1 em] t & = -\frac{ 1789 }{ 1120 } \end{aligned} $$

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