$$ \begin{aligned} \frac{5}{6}x\cdot\frac{1}{6} &= 0&& \text{multiply ALL terms by } \color{blue}{ 6 }. \\[1 em]6 \cdot \frac{5}{6}x\cdot\frac{1}{6} &= 6\cdot0&& \text{cancel out the denominators} \\[1 em]\frac{5}{6}x &= 0&& \text{multiply ALL terms by } \color{blue}{ 6 }. \\[1 em]6 \cdot \frac{5}{6}x &= 6\cdot0&& \text{cancel out the denominators} \\[1 em]5x &= 0&& \text{ divide both sides by $ 5 $ } \\[1 em]x &= \frac{0}{5}&& \\[1 em]x &= 0&& \\[1 em] \end{aligned} $$

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