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Simplifying X2 + 20 + -1y2 + -9x + -4y + 21 + -8x + 6y = 3 + -4y + -5x + -2y2 Reorder the terms: 20 + 21 + X2 + -9x + -8x + -4y + 6y + -1y2 = 3 + -4y + -5x + -2y2 Combine like terms: 20 + 21 = 41 41 + X2 + -9x + -8x + -4y + 6y + -1y2 = 3 + -4y + -5x + -2y2 Combine like terms: -9x + -8x = -17x 41 + X2 + -17x + -4y + 6y + -1y2 = 3 + -4y + -5x + -2y2 Combine like terms: -4y + 6y = 2y 41 + X2 + -17x + 2y + -1y2 = 3 + -4y + -5x + -2y2 Reorder the terms: 41 + X2 + -17x + 2y + -1y2 = 3 + -5x + -4y + -2y2 Solving 41 + X2 + -17x + 2y + -1y2 = 3 + -5x + -4y + -2y2 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-41' to each side of the equation. 41 + X2 + -17x + 2y + -41 + -1y2 = 3 + -5x + -4y + -41 + -2y2 Reorder the terms: 41 + -41 + X2 + -17x + 2y + -1y2 = 3 + -5x + -4y + -41 + -2y2 Combine like terms: 41 + -41 = 0 0 + X2 + -17x + 2y + -1y2 = 3 + -5x + -4y + -41 + -2y2 X2 + -17x + 2y + -1y2 = 3 + -5x + -4y + -41 + -2y2 Reorder the terms: X2 + -17x + 2y + -1y2 = 3 + -41 + -5x + -4y + -2y2 Combine like terms: 3 + -41 = -38 X2 + -17x + 2y + -1y2 = -38 + -5x + -4y + -2y2 Add '17x' to each side of the equation. X2 + -17x + 2y + 17x + -1y2 = -38 + -5x + -4y + 17x + -2y2 Reorder the terms: X2 + -17x + 17x + 2y + -1y2 = -38 + -5x + -4y + 17x + -2y2 Combine like terms: -17x + 17x = 0 X2 + 0 + 2y + -1y2 = -38 + -5x + -4y + 17x + -2y2 X2 + 2y + -1y2 = -38 + -5x + -4y + 17x + -2y2 Reorder the terms: X2 + 2y + -1y2 = -38 + -5x + 17x + -4y + -2y2 Combine like terms: -5x + 17x = 12x X2 + 2y + -1y2 = -38 + 12x + -4y + -2y2 Add '-2y' to each side of the equation. X2 + 2y + -2y + -1y2 = -38 + 12x + -4y + -2y + -2y2 Combine like terms: 2y + -2y = 0 X2 + 0 + -1y2 = -38 + 12x + -4y + -2y + -2y2 X2 + -1y2 = -38 + 12x + -4y + -2y + -2y2 Combine like terms: -4y + -2y = -6y X2 + -1y2 = -38 + 12x + -6y + -2y2 Add 'y2' to each side of the equation. X2 + -1y2 + y2 = -38 + 12x + -6y + -2y2 + y2 Combine like terms: -1y2 + y2 = 0 X2 + 0 = -38 + 12x + -6y + -2y2 + y2 X2 = -38 + 12x + -6y + -2y2 + y2 Combine like terms: -2y2 + y2 = -1y2 X2 = -38 + 12x + -6y + -1y2 Simplifying X2 = -38 + 12x + -6y + -1y2 Reorder the terms: 38 + X2 + -12x + 6y + y2 = -38 + 12x + -6y + -1y2 + 38 + -12x + 6y + y2 Reorder the terms: 38 + X2 + -12x + 6y + y2 = -38 + 38 + 12x + -12x + -6y + 6y + -1y2 + y2 Combine like terms: -38 + 38 = 0 38 + X2 + -12x + 6y + y2 = 0 + 12x + -12x + -6y + 6y + -1y2 + y2 38 + X2 + -12x + 6y + y2 = 12x + -12x + -6y + 6y + -1y2 + y2 Combine like terms: 12x + -12x = 0 38 + X2 + -12x + 6y + y2 = 0 + -6y + 6y + -1y2 + y2 38 + X2 + -12x + 6y + y2 = -6y + 6y + -1y2 + y2 Combine like terms: -6y + 6y = 0 38 + X2 + -12x + 6y + y2 = 0 + -1y2 + y2 38 + X2 + -12x + 6y + y2 = -1y2 + y2 Combine like terms: -1y2 + y2 = 0 38 + X2 + -12x + 6y + y2 = 0 The solution to this equation could not be determined.
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