Question
$$2t-5t^6 = 0$$
Answer
$$ t = 0 $$
Explanation
$$ \begin{aligned} 2t-5t^6 &= 0&& \text{simplify left side} \\[1 em]-5t^6+2t &= 0&& \\[1 em] \end{aligned} $$
In order to solve $ \color{blue}{ -5x^{6}+2x = 0 } $, first we need to factor our $ x $.
$$ -5x^{6}+2x = x \left( -5x^{5}+2 \right) $$$ x = 0 $ is a root of multiplicity $ 1 $.
The remaining roots can be found by solving equation $ -5x^{5}+2 = 0$.
This polynomial has no rational roots that can be found using Rational Root Test.
Roots were found using Newton method.
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