$$ \begin{aligned} \frac{30}{100}x\cdot\frac{3}{100} &= 0&& \text{multiply ALL terms by } \color{blue}{ 100 }. \\[1 em]100 \cdot \frac{30}{100}x\cdot\frac{3}{100} &= 100\cdot0&& \text{cancel out the denominators} \\[1 em]\frac{9}{10}x &= 0&& \text{multiply ALL terms by } \color{blue}{ 10 }. \\[1 em]10 \cdot \frac{9}{10}x &= 10\cdot0&& \text{cancel out the denominators} \\[1 em]9x &= 0&& \text{ divide both sides by $ 9 $ } \\[1 em]x &= \frac{0}{9}&& \\[1 em]x &= 0&& \\[1 em] \end{aligned} $$

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