$$ \begin{aligned} (5-6)\cdot(5+6) &= 0&& \text{simplify left side} \\[1 em]-1\cdot11 &= 0&& \\[1 em]-11 &= 0&& \\[1 em] \end{aligned} $$
Since the statement $ \color{red}{ -11 = 0 } $ is FALSE, we conclude that the equation has no solution.
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