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Simplifying X2 + 2xy + 2y2 + -8 = 0 Reorder the terms: -8 + X2 + 2xy + 2y2 = 0 Solving -8 + X2 + 2xy + 2y2 = 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 + 2y2 = 0 + 8 Reorder the terms: -8 + 8 + X2 + 2xy + 2y2 = 0 + 8 Combine like terms: -8 + 8 = 0 0 + X2 + 2xy + 2y2 = 0 + 8 X2 + 2xy + 2y2 = 0 + 8 Combine like terms: 0 + 8 = 8 X2 + 2xy + 2y2 = 8 Add '-2xy' to each side of the equation. X2 + 2xy + -2xy + 2y2 = 8 + -2xy Combine like terms: 2xy + -2xy = 0 X2 + 0 + 2y2 = 8 + -2xy X2 + 2y2 = 8 + -2xy Add '-2y2' to each side of the equation. X2 + 2y2 + -2y2 = 8 + -2xy + -2y2 Combine like terms: 2y2 + -2y2 = 0 X2 + 0 = 8 + -2xy + -2y2 X2 = 8 + -2xy + -2y2 Simplifying X2 = 8 + -2xy + -2y2 Reorder the terms: -8 + X2 + 2xy + 2y2 = 8 + -2xy + -2y2 + -8 + 2xy + 2y2 Reorder the terms: -8 + X2 + 2xy + 2y2 = 8 + -8 + -2xy + 2xy + -2y2 + 2y2 Combine like terms: 8 + -8 = 0 -8 + X2 + 2xy + 2y2 = 0 + -2xy + 2xy + -2y2 + 2y2 -8 + X2 + 2xy + 2y2 = -2xy + 2xy + -2y2 + 2y2 Combine like terms: -2xy + 2xy = 0 -8 + X2 + 2xy + 2y2 = 0 + -2y2 + 2y2 -8 + X2 + 2xy + 2y2 = -2y2 + 2y2 Combine like terms: -2y2 + 2y2 = 0 -8 + X2 + 2xy + 2y2 = 0 The solution to this equation could not be determined.
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