Question
$$10000\cdot55 = 18181\cdot8182$$
Answer
This equation has no solution.
Explanation
$$ \begin{aligned} 10000\cdot55 &= 18181\cdot8182&& \text{move the $ \color{blue}{ 148756942 } $ to the left side} \\[1 em]550000-148756942 &= 0&& \text{simplify left side} \\[1 em]-148206942 &= 0&& \\[1 em] \end{aligned} $$
Since the statement $ \color{red}{ -148206942 = 0 } $ is FALSE, we conclude that the equation has no solution.
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