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Simplifying X2 + y2 + 3xy = 107 Reorder the terms: X2 + 3xy + y2 = 107 Solving X2 + 3xy + y2 = 107 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-3xy' to each side of the equation. X2 + 3xy + -3xy + y2 = 107 + -3xy Combine like terms: 3xy + -3xy = 0 X2 + 0 + y2 = 107 + -3xy X2 + y2 = 107 + -3xy Add '-1y2' to each side of the equation. X2 + y2 + -1y2 = 107 + -3xy + -1y2 Combine like terms: y2 + -1y2 = 0 X2 + 0 = 107 + -3xy + -1y2 X2 = 107 + -3xy + -1y2 Simplifying X2 = 107 + -3xy + -1y2 Reorder the terms: -107 + X2 + 3xy + y2 = 107 + -3xy + -1y2 + -107 + 3xy + y2 Reorder the terms: -107 + X2 + 3xy + y2 = 107 + -107 + -3xy + 3xy + -1y2 + y2 Combine like terms: 107 + -107 = 0 -107 + X2 + 3xy + y2 = 0 + -3xy + 3xy + -1y2 + y2 -107 + X2 + 3xy + y2 = -3xy + 3xy + -1y2 + y2 Combine like terms: -3xy + 3xy = 0 -107 + X2 + 3xy + y2 = 0 + -1y2 + y2 -107 + X2 + 3xy + y2 = -1y2 + y2 Combine like terms: -1y2 + y2 = 0 -107 + X2 + 3xy + y2 = 0 The solution to this equation could not be determined.
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