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Simplifying X2 + 2xy + y2 + 8 + x2 + y2 + -1xy + -21 = 0 Reorder the terms: 8 + -21 + X2 + 2xy + -1xy + x2 + y2 + y2 = 0 Combine like terms: 8 + -21 = -13 -13 + X2 + 2xy + -1xy + x2 + y2 + y2 = 0 Combine like terms: 2xy + -1xy = 1xy -13 + X2 + 1xy + x2 + y2 + y2 = 0 Combine like terms: y2 + y2 = 2y2 -13 + X2 + 1xy + x2 + 2y2 = 0 Solving -13 + X2 + 1xy + x2 + 2y2 = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '13' to each side of the equation. -13 + X2 + 1xy + x2 + 13 + 2y2 = 0 + 13 Reorder the terms: -13 + 13 + X2 + 1xy + x2 + 2y2 = 0 + 13 Combine like terms: -13 + 13 = 0 0 + X2 + 1xy + x2 + 2y2 = 0 + 13 X2 + 1xy + x2 + 2y2 = 0 + 13 Combine like terms: 0 + 13 = 13 X2 + 1xy + x2 + 2y2 = 13 Add '-1xy' to each side of the equation. X2 + 1xy + x2 + -1xy + 2y2 = 13 + -1xy Reorder the terms: X2 + 1xy + -1xy + x2 + 2y2 = 13 + -1xy Combine like terms: 1xy + -1xy = 0 X2 + 0 + x2 + 2y2 = 13 + -1xy X2 + x2 + 2y2 = 13 + -1xy Add '-1x2' to each side of the equation. X2 + x2 + -1x2 + 2y2 = 13 + -1xy + -1x2 Combine like terms: x2 + -1x2 = 0 X2 + 0 + 2y2 = 13 + -1xy + -1x2 X2 + 2y2 = 13 + -1xy + -1x2 Add '-2y2' to each side of the equation. X2 + 2y2 + -2y2 = 13 + -1xy + -1x2 + -2y2 Combine like terms: 2y2 + -2y2 = 0 X2 + 0 = 13 + -1xy + -1x2 + -2y2 X2 = 13 + -1xy + -1x2 + -2y2 Simplifying X2 = 13 + -1xy + -1x2 + -2y2 Reorder the terms: -13 + X2 + xy + x2 + 2y2 = 13 + -1xy + -1x2 + -2y2 + -13 + xy + x2 + 2y2 Reorder the terms: -13 + X2 + xy + x2 + 2y2 = 13 + -13 + -1xy + xy + -1x2 + x2 + -2y2 + 2y2 Combine like terms: 13 + -13 = 0 -13 + X2 + xy + x2 + 2y2 = 0 + -1xy + xy + -1x2 + x2 + -2y2 + 2y2 -13 + X2 + xy + x2 + 2y2 = -1xy + xy + -1x2 + x2 + -2y2 + 2y2 Combine like terms: -1xy + xy = 0 -13 + X2 + xy + x2 + 2y2 = 0 + -1x2 + x2 + -2y2 + 2y2 -13 + X2 + xy + x2 + 2y2 = -1x2 + x2 + -2y2 + 2y2 Combine like terms: -1x2 + x2 = 0 -13 + X2 + xy + x2 + 2y2 = 0 + -2y2 + 2y2 -13 + X2 + xy + x2 + 2y2 = -2y2 + 2y2 Combine like terms: -2y2 + 2y2 = 0 -13 + X2 + xy + x2 + 2y2 = 0 The solution to this equation could not be determined.
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