x^2 - 8x + y^2 + 12y = -52
x^2 - 8x + 16 + y^2 + 12y + 36 = -52 + 16 + 36
(x - 4)^2 + (y + 6)^2 = 0
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x^2 - 8x + y^2 + 12y = -52
x^2 - 8x + 16 + y^2 + 12y + 36 = -52 + 16 + 36
(x - 4)^2 + (y + 6)^2 = 0