Question
$$-160x^6+240x^{12}-300 = 0$$
Answer
This equation has no solution.
Explanation
$$ \begin{aligned} -160x^6+240x^{12}-300 &= 0&& \text{simplify left side} \\[1 em]240x^{12}-160x^6-300 &= 0&& \\[1 em] \end{aligned} $$
This polynomial has no rational roots that can be found using Rational Root Test.
Roots were found using Newton method.
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Polynomial Equations Solver