$$65335x^7-10000x^2-50000 = 0$$
Answer
$$ \begin{matrix}x_1 = 0.98731 & x_2 = 0.57731+0.76423i & x_3 = 0.57731-0.76423i \\[1 em] x_4 = -0.19769+0.91816i & x_5 = -0.19769-0.91816i & x_6 = -0.87328+0.44192i \\[1 em] x_7 = -0.87328-0.44192i & \\[1 em] \end{matrix} $$
Explanation
This polynomial has no rational roots that can be found using Rational Root Test.
Roots were found using Newton method.
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