Question
$$2+\frac{5}{8^2}\cdot9 = 0$$
Answer
This equation has no solution.
Explanation
$$ \begin{aligned} 2+\frac{5}{8^2}\cdot9 &= 0&& \text{multiply ALL terms by } \color{blue}{ 64 }. \\[1 em]64\cdot2+64 \cdot \frac{5}{8^2}\cdot9 &= 64\cdot0&& \text{cancel out the denominators} \\[1 em]128+45 &= 0&& \text{simplify left side} \\[1 em]173 &= 0&& \\[1 em] \end{aligned} $$
Since the statement $ \color{red}{ 173 = 0 } $ is FALSE, we conclude that the equation has no solution.
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