SolveAlways[{-11 - 2 x + x^2 - 4 y + y^2 - 6 z + z^2 ==
(x - a)^2 + (y - b)^2 + (z - c)^2 - 25}, {x, y, z}]
(*{{a -> 1, b -> 2, c -> 3}}*)
chyanog
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