Question
$$-\frac{12}{x^2} = 0$$
Answer
This equation has no solution.
Explanation
$$ \begin{aligned} -\frac{12}{x^2} &= 0&& \text{multiply ALL terms by } \color{blue}{ x^2 }. \\[1 em]-x^2\cdot\frac{12}{x^2} &= x^2\cdot0&& \text{cancel out the denominators} \\[1 em]-12 &= 0&& \\[1 em] \end{aligned} $$
Since the statement $ \color{red}{ -12 = 0 } $ is FALSE, we conclude that the equation has no solution.
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