Question
$$2^2-2\cdot2+6 = 0$$
Answer
This equation has no solution.
Explanation
$$ \begin{aligned} 2^2-2\cdot2+6 &= 0&& \text{simplify left side} \\[1 em]2^2-4+6 &= 0&& \\[1 em]4-4+6 &= 0&& \\[1 em]4-4+6 &= 0&& \\[1 em]6 &= 0&& \\[1 em] \end{aligned} $$
Since the statement $ \color{red}{ 6 = 0 } $ is FALSE, we conclude that the equation has no solution.
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