$$ \begin{aligned} \frac{11}{5}x\cdot\frac{21}{5} &= 0&& \text{multiply ALL terms by } \color{blue}{ 5 }. \\[1 em]5 \cdot \frac{11}{5}x\cdot\frac{21}{5} &= 5\cdot0&& \text{cancel out the denominators} \\[1 em]\frac{231}{5}x &= 0&& \text{multiply ALL terms by } \color{blue}{ 5 }. \\[1 em]5 \cdot \frac{231}{5}x &= 5\cdot0&& \text{cancel out the denominators} \\[1 em]231x &= 0&& \text{ divide both sides by $ 231 $ } \\[1 em]x &= \frac{0}{231}&& \\[1 em]x &= 0&& \\[1 em] \end{aligned} $$

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