You can put this solution on YOUR website! x^2 +6x +y^2 -4y -68 = 0
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add 68 to both sides of =
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x^2 +6x +y^2 -4y = 68
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complete the squares
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x^2 +6x +9 + y^2 -4y +4 = 68 +13
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factor the squares on both sides of =
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(x+3)^2 +(y-2)^2 = 9^2
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the equation is recognizable as a circle whose center is (-3,2) and radius of 9
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