Question
$$6\cdot7\cdot8\cdot9+3\cdot7\cdot8\cdot9+3\cdot4\cdot8\cdot9+3\cdot4\cdot5\cdot9+3\cdot4\cdot5\cdot6 = 0$$
Answer
This equation has no solution.
Explanation
$$ \begin{aligned} 6\cdot7\cdot8\cdot9+3\cdot7\cdot8\cdot9+3\cdot4\cdot8\cdot9+3\cdot4\cdot5\cdot9+3\cdot4\cdot5\cdot6 &= 0&& \text{simplify left side} \\[1 em]3024+1512+864+540+360 &= 0&& \\[1 em]6300 &= 0&& \\[1 em] \end{aligned} $$
Since the statement $ \color{red}{ 6300 = 0 } $ is FALSE, we conclude that the equation has no solution.
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