Question
$$1+5(4-6)^3 = 0$$
Answer
This equation has no solution.
Explanation
$$ \begin{aligned} 1+5(4-6)^3 &= 0&& \text{simplify left side} \\[1 em]1+5\cdot(-2)^3 &= 0&& \\[1 em]1+5\cdot(-8) &= 0&& \\[1 em]1-40 &= 0&& \\[1 em]-39 &= 0&& \\[1 em] \end{aligned} $$
Since the statement $ \color{red}{ -39 = 0 } $ is FALSE, we conclude that the equation has no solution.
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