$$ \begin{aligned} \frac{24}{5}x\cdot\frac{25}{36} &= 0&& \text{multiply ALL terms by } \color{blue}{ 180 }. \\[1 em]180 \cdot \frac{24}{5}x\cdot\frac{25}{36} &= 180\cdot0&& \text{cancel out the denominators} \\[1 em]600x &= 0&& \text{ divide both sides by $ 600 $ } \\[1 em]x &= \frac{0}{600}&& \\[1 em]x &= 0&& \\[1 em] \end{aligned} $$
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