$$\frac{5}{10}x\cdot\frac{25}{100} = 0$$

$$ \begin{aligned} \frac{5}{10}x\cdot\frac{25}{100} &= 0&& \text{multiply ALL terms by } \color{blue}{ 100 }. \\[1 em]100 \cdot \frac{5}{10}x\cdot\frac{25}{100} &= 100\cdot0&& \text{cancel out the denominators} \\[1 em]\frac{25}{2}x &= 0&& \text{multiply ALL terms by } \color{blue}{ 2 }. \\[1 em]2 \cdot \frac{25}{2}x &= 2\cdot0&& \text{cancel out the denominators} \\[1 em]25x &= 0&& \text{ divide both sides by $ 25 $ } \\[1 em]x &= \frac{0}{25}&& \\[1 em]x &= 0&& \\[1 em] \end{aligned} $$

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