$$(x+6)(x-6) = x^2$$
Answer
This equation has no solution.
Explanation
$$ \begin{aligned} (x+6)(x-6) &= x^2&& \text{simplify left side} \\[1 em]x^2-6x+6x-36 &= x^2&& \\[1 em]x^2-6x+6x-36 &= x^2&& \\[1 em]x^2-36 &= x^2&& \text{move all terms to the left hand side } \\[1 em]x^2-36-x^2 &= 0&& \text{simplify left side} \\[1 em]x^2-36-x^2 &= 0&& \\[1 em]-36 &= 0&& \\[1 em] \end{aligned} $$
Since the statement $ \color{red}{ -36 = 0 } $ is FALSE, we conclude that the equation has no solution.
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