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Simplifying X2 + 2xy + y2 + 8 = 0 Reorder the terms: 8 + X2 + 2xy + y2 = 0 Solving 8 + X2 + 2xy + y2 = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + X2 + 2xy + -8 + y2 = 0 + -8 Reorder the terms: 8 + -8 + X2 + 2xy + y2 = 0 + -8 Combine like terms: 8 + -8 = 0 0 + X2 + 2xy + y2 = 0 + -8 X2 + 2xy + y2 = 0 + -8 Combine like terms: 0 + -8 = -8 X2 + 2xy + y2 = -8 Add '-2xy' to each side of the equation. X2 + 2xy + -2xy + y2 = -8 + -2xy Combine like terms: 2xy + -2xy = 0 X2 + 0 + y2 = -8 + -2xy X2 + y2 = -8 + -2xy Add '-1y2' to each side of the equation. X2 + y2 + -1y2 = -8 + -2xy + -1y2 Combine like terms: y2 + -1y2 = 0 X2 + 0 = -8 + -2xy + -1y2 X2 = -8 + -2xy + -1y2 Simplifying X2 = -8 + -2xy + -1y2 Reorder the terms: 8 + X2 + 2xy + y2 = -8 + -2xy + -1y2 + 8 + 2xy + y2 Reorder the terms: 8 + X2 + 2xy + y2 = -8 + 8 + -2xy + 2xy + -1y2 + y2 Combine like terms: -8 + 8 = 0 8 + X2 + 2xy + y2 = 0 + -2xy + 2xy + -1y2 + y2 8 + X2 + 2xy + y2 = -2xy + 2xy + -1y2 + y2 Combine like terms: -2xy + 2xy = 0 8 + X2 + 2xy + y2 = 0 + -1y2 + y2 8 + X2 + 2xy + y2 = -1y2 + y2 Combine like terms: -1y2 + y2 = 0 8 + X2 + 2xy + y2 = 0 The solution to this equation could not be determined.
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