Question
$$2\cdot3\cdot4(\frac{1}{2}+\frac{1}{3}+\frac{1}{4}) = 0$$
Answer
This equation has no solution.
Explanation
$$ \begin{aligned} 2\cdot3\cdot4(\frac{1}{2}+\frac{1}{3}+\frac{1}{4}) &= 0&& \text{simplify left side} \\[1 em]24(\frac{1}{2}+\frac{1}{3}+\frac{1}{4}) &= 0&& \\[1 em]24\cdot\frac{13}{12} &= 0&& \\[1 em]26 &= 0&& \\[1 em] \end{aligned} $$
Since the statement $ \color{red}{ 26 = 0 } $ is FALSE, we conclude that the equation has no solution.
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