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Simplifying X2 + -2xy + y2 + 5x + -5y = -6 Reorder the terms: X2 + 5x + -2xy + -5y + y2 = -6 Solving X2 + 5x + -2xy + -5y + y2 = -6 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-5x' to each side of the equation. X2 + 5x + -2xy + -5y + -5x + y2 = -6 + -5x Reorder the terms: X2 + 5x + -5x + -2xy + -5y + y2 = -6 + -5x Combine like terms: 5x + -5x = 0 X2 + 0 + -2xy + -5y + y2 = -6 + -5x X2 + -2xy + -5y + y2 = -6 + -5x Add '2xy' to each side of the equation. X2 + -2xy + -5y + 2xy + y2 = -6 + -5x + 2xy Reorder the terms: X2 + -2xy + 2xy + -5y + y2 = -6 + -5x + 2xy Combine like terms: -2xy + 2xy = 0 X2 + 0 + -5y + y2 = -6 + -5x + 2xy X2 + -5y + y2 = -6 + -5x + 2xy Add '5y' to each side of the equation. X2 + -5y + 5y + y2 = -6 + -5x + 2xy + 5y Combine like terms: -5y + 5y = 0 X2 + 0 + y2 = -6 + -5x + 2xy + 5y X2 + y2 = -6 + -5x + 2xy + 5y Add '-1y2' to each side of the equation. X2 + y2 + -1y2 = -6 + -5x + 2xy + 5y + -1y2 Combine like terms: y2 + -1y2 = 0 X2 + 0 = -6 + -5x + 2xy + 5y + -1y2 X2 = -6 + -5x + 2xy + 5y + -1y2 Simplifying X2 = -6 + -5x + 2xy + 5y + -1y2 Reorder the terms: 6 + X2 + 5x + -2xy + -5y + y2 = -6 + -5x + 2xy + 5y + -1y2 + 6 + 5x + -2xy + -5y + y2 Reorder the terms: 6 + X2 + 5x + -2xy + -5y + y2 = -6 + 6 + -5x + 5x + 2xy + -2xy + 5y + -5y + -1y2 + y2 Combine like terms: -6 + 6 = 0 6 + X2 + 5x + -2xy + -5y + y2 = 0 + -5x + 5x + 2xy + -2xy + 5y + -5y + -1y2 + y2 6 + X2 + 5x + -2xy + -5y + y2 = -5x + 5x + 2xy + -2xy + 5y + -5y + -1y2 + y2 Combine like terms: -5x + 5x = 0 6 + X2 + 5x + -2xy + -5y + y2 = 0 + 2xy + -2xy + 5y + -5y + -1y2 + y2 6 + X2 + 5x + -2xy + -5y + y2 = 2xy + -2xy + 5y + -5y + -1y2 + y2 Combine like terms: 2xy + -2xy = 0 6 + X2 + 5x + -2xy + -5y + y2 = 0 + 5y + -5y + -1y2 + y2 6 + X2 + 5x + -2xy + -5y + y2 = 5y + -5y + -1y2 + y2 Combine like terms: 5y + -5y = 0 6 + X2 + 5x + -2xy + -5y + y2 = 0 + -1y2 + y2 6 + X2 + 5x + -2xy + -5y + y2 = -1y2 + y2 Combine like terms: -1y2 + y2 = 0 6 + X2 + 5x + -2xy + -5y + y2 = 0 The solution to this equation could not be determined.
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