$$ \begin{aligned} \frac{1005}{100}x\cdot\frac{105}{100} &= 0&& \text{multiply ALL terms by } \color{blue}{ 100 }. \\[1 em]100 \cdot \frac{1005}{100}x\cdot\frac{105}{100} &= 100\cdot0&& \text{cancel out the denominators} \\[1 em]\frac{4221}{4}x &= 0&& \text{multiply ALL terms by } \color{blue}{ 4 }. \\[1 em]4 \cdot \frac{4221}{4}x &= 4\cdot0&& \text{cancel out the denominators} \\[1 em]4221x &= 0&& \text{ divide both sides by $ 4221 $ } \\[1 em]x &= \frac{0}{4221}&& \\[1 em]x &= 0&& \\[1 em] \end{aligned} $$
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