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Simplifying X2 + xy + y2 = 21 Solving X2 + xy + y2 = 21 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-1xy' to each side of the equation. X2 + xy + -1xy + y2 = 21 + -1xy Combine like terms: xy + -1xy = 0 X2 + 0 + y2 = 21 + -1xy X2 + y2 = 21 + -1xy Add '-1y2' to each side of the equation. X2 + y2 + -1y2 = 21 + -1xy + -1y2 Combine like terms: y2 + -1y2 = 0 X2 + 0 = 21 + -1xy + -1y2 X2 = 21 + -1xy + -1y2 Simplifying X2 = 21 + -1xy + -1y2 Reorder the terms: -21 + X2 + xy + y2 = 21 + -1xy + -1y2 + -21 + xy + y2 Reorder the terms: -21 + X2 + xy + y2 = 21 + -21 + -1xy + xy + -1y2 + y2 Combine like terms: 21 + -21 = 0 -21 + X2 + xy + y2 = 0 + -1xy + xy + -1y2 + y2 -21 + X2 + xy + y2 = -1xy + xy + -1y2 + y2 Combine like terms: -1xy + xy = 0 -21 + X2 + xy + y2 = 0 + -1y2 + y2 -21 + X2 + xy + y2 = -1y2 + y2 Combine like terms: -1y2 + y2 = 0 -21 + X2 + xy + y2 = 0 The solution to this equation could not be determined.
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