Answer
The solution set is empty.
Work Step by Step
$x^2-6x+12\leq0\\(x-3)^2-9+12\leq0\\(x-3)^2+3\leq0\\(x-3)^2\leq-3$
but we know that $a^2\geq0$ for all $a$, so the solution set is empty.
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