Question
$$72-4\cdot\frac{15}{8}+35 = 0$$
Answer
This equation has no solution.
Explanation
$$ \begin{aligned} 72-4\cdot\frac{15}{8}+35 &= 0&& \text{multiply ALL terms by } \color{blue}{ 8 }. \\[1 em]8\cdot72-8\cdot4\cdot\frac{15}{8}+8\cdot35 &= 8\cdot0&& \text{cancel out the denominators} \\[1 em]576-60+280 &= 0&& \text{simplify left side} \\[1 em]796 &= 0&& \\[1 em] \end{aligned} $$
Since the statement $ \color{red}{ 796 = 0 } $ is FALSE, we conclude that the equation has no solution.
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