Question
$$6^3-2^4+3\cdot\frac{4}{2} = 0$$
Answer
This equation has no solution.
Explanation
$$ \begin{aligned} 6^3-2^4+3\cdot\frac{4}{2} &= 0&& \text{multiply ALL terms by } \color{blue}{ 2 }. \\[1 em]2\cdot6^3-2\cdot2^4+2\cdot3\cdot\frac{4}{2} &= 2\cdot0&& \text{cancel out the denominators} \\[1 em]432-32+12 &= 0&& \text{simplify left side} \\[1 em]412 &= 0&& \\[1 em] \end{aligned} $$
Since the statement $ \color{red}{ 412 = 0 } $ is FALSE, we conclude that the equation has no solution.
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