Question
$$2\cdot5^3-2\cdot5-4 = 0$$
Answer
This equation has no solution.
Explanation
$$ \begin{aligned} 2\cdot5^3-2\cdot5-4 &= 0&& \text{simplify left side} \\[1 em]2\cdot5^3-10-4 &= 0&& \\[1 em]2\cdot125-10-4 &= 0&& \\[1 em]250-10-4 &= 0&& \\[1 em]236 &= 0&& \\[1 em] \end{aligned} $$
Since the statement $ \color{red}{ 236 = 0 } $ is FALSE, we conclude that the equation has no solution.
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