Question
$$\frac{4}{x}\cdot5x = 0$$
Answer
$$ x = 0 $$
Explanation
$$ \begin{aligned} \frac{4}{x}\cdot5x &= 0&& \text{multiply ALL terms by } \color{blue}{ x }. \\[1 em]x \cdot \frac{4}{x}\cdot5x &= x\cdot0&& \text{cancel out the denominators} \\[1 em]20x &= 0&& \text{ divide both sides by $ 20 $ } \\[1 em]x &= \frac{0}{20}&& \\[1 em]x &= 0&& \\[1 em] \end{aligned} $$
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