Question
$$7 \cdot \frac{x}{5x^3} = 0$$
Answer
$$ x = 0 $$
Explanation
$$ \begin{aligned} 7 \cdot \frac{x}{5x^3} &= 0&& \text{multiply ALL terms by } \color{blue}{ 5x^3 }. \\[1 em]5x^3\cdot7 \cdot \frac{x}{5x^3} &= 5x^3\cdot0&& \text{cancel out the denominators} \\[1 em]7x &= 0&& \text{ divide both sides by $ 7 $ } \\[1 em]x &= \frac{0}{7}&& \\[1 em]x &= 0&& \\[1 em] \end{aligned} $$
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