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Question
$$2+4x\cdot3x2x\cdot128 = 0$$
Answer
This equation has no solution.
Explanation
$$ \begin{aligned} 2+4x\cdot3x2x\cdot128 &= 0&& \text{simplify left side} \\[1 em]2+12x^2\cdot256x &= 0&& \\[1 em]2+3072x^3 &= 0&& \\[1 em]3072x^3+2 &= 0&& \\[1 em] \end{aligned} $$
This polynomial has no rational roots that can be found using Rational Root Test.
Roots were found using qubic formulas.
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Equations Solver