$$ \begin{aligned} \frac{1}{2}-\frac{60}{100}-\frac{25}{100} &= 0&& \text{multiply ALL terms by } \color{blue}{ 100 }. \\[1 em]100\cdot\frac{1}{2}-100\cdot\frac{60}{100}-100\cdot\frac{25}{100} &= 100\cdot0&& \text{cancel out the denominators} \\[1 em]50-60-25 &= 0&& \text{simplify left side} \\[1 em]-35 &= 0&& \\[1 em] \end{aligned} $$
Since the statement $ \color{red}{ -35 = 0 } $ is FALSE, we conclude that the equation has no solution.
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