$$ \begin{aligned} 3^2+\frac{4^2}{8}+5 &= 0&& \text{multiply ALL terms by } \color{blue}{ 8 }. \\[1 em]8\cdot3^2+8 \cdot \frac{4^2}{8}+8\cdot5 &= 8\cdot0&& \text{cancel out the denominators} \\[1 em]72+16+40 &= 0&& \text{simplify left side} \\[1 em]128 &= 0&& \\[1 em] \end{aligned} $$
Since the statement $ \color{red}{ 128 = 0 } $ is FALSE, we conclude that the equation has no solution.
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