Question
$$2^1-\frac{3}{2^2}-3^2 = 0$$
Answer
This equation has no solution.
Explanation
$$ \begin{aligned} 2^1-\frac{3}{2^2}-3^2 &= 0&& \text{multiply ALL terms by } \color{blue}{ 4 }. \\[1 em]4\cdot2^1-4\cdot\frac{3}{2^2}-4\cdot3^2 &= 4\cdot0&& \text{cancel out the denominators} \\[1 em]8-3-36 &= 0&& \text{simplify left side} \\[1 em]-31 &= 0&& \\[1 em] \end{aligned} $$
Since the statement $ \color{red}{ -31 = 0 } $ is FALSE, we conclude that the equation has no solution.
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