Question
$$0 = \frac{1}{1250x}$$
Answer
$$ x = 0 $$
Explanation
$$ \begin{aligned} 0 &= \frac{1}{1250x}&& \text{multiply ALL terms by } \color{blue}{ 1250x }. \\[1 em]1250x\cdot0 &= 1250x\cdot\frac{1}{1250x}&& \text{cancel out the denominators} \\[1 em]0 &= x^2&& \text{move all terms to the left hand side } \\[1 em]0-x^2 &= 0&& \text{simplify left side} \\[1 em]-x^2 &= 0&& \\[1 em] \end{aligned} $$
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