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Simplifying x2 + y2 + 2Xxy + 6x + 6y + X = 0 Reorder the terms: X + 6x + 2xyX + x2 + 6y + y2 = 0 Solving X + 6x + 2xyX + x2 + 6y + y2 = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-6x' to each side of the equation. X + 6x + 2xyX + x2 + 6y + -6x + y2 = 0 + -6x Reorder the terms: X + 6x + -6x + 2xyX + x2 + 6y + y2 = 0 + -6x Combine like terms: 6x + -6x = 0 X + 0 + 2xyX + x2 + 6y + y2 = 0 + -6x X + 2xyX + x2 + 6y + y2 = 0 + -6x Remove the zero: X + 2xyX + x2 + 6y + y2 = -6x Add '-1x2' to each side of the equation. X + 2xyX + x2 + 6y + -1x2 + y2 = -6x + -1x2 Reorder the terms: X + 2xyX + x2 + -1x2 + 6y + y2 = -6x + -1x2 Combine like terms: x2 + -1x2 = 0 X + 2xyX + 0 + 6y + y2 = -6x + -1x2 X + 2xyX + 6y + y2 = -6x + -1x2 Add '-6y' to each side of the equation. X + 2xyX + 6y + -6y + y2 = -6x + -1x2 + -6y Combine like terms: 6y + -6y = 0 X + 2xyX + 0 + y2 = -6x + -1x2 + -6y X + 2xyX + y2 = -6x + -1x2 + -6y Add '-1y2' to each side of the equation. X + 2xyX + y2 + -1y2 = -6x + -1x2 + -6y + -1y2 Combine like terms: y2 + -1y2 = 0 X + 2xyX + 0 = -6x + -1x2 + -6y + -1y2 X + 2xyX = -6x + -1x2 + -6y + -1y2 Reorder the terms: X + 6x + 2xyX + x2 + 6y + y2 = -6x + -1x2 + -6y + -1y2 + 6x + x2 + 6y + y2 Reorder the terms: X + 6x + 2xyX + x2 + 6y + y2 = -6x + 6x + -1x2 + x2 + -6y + 6y + -1y2 + y2 Combine like terms: -6x + 6x = 0 X + 6x + 2xyX + x2 + 6y + y2 = 0 + -1x2 + x2 + -6y + 6y + -1y2 + y2 X + 6x + 2xyX + x2 + 6y + y2 = -1x2 + x2 + -6y + 6y + -1y2 + y2 Combine like terms: -1x2 + x2 = 0 X + 6x + 2xyX + x2 + 6y + y2 = 0 + -6y + 6y + -1y2 + y2 X + 6x + 2xyX + x2 + 6y + y2 = -6y + 6y + -1y2 + y2 Combine like terms: -6y + 6y = 0 X + 6x + 2xyX + x2 + 6y + y2 = 0 + -1y2 + y2 X + 6x + 2xyX + x2 + 6y + y2 = -1y2 + y2 Combine like terms: -1y2 + y2 = 0 X + 6x + 2xyX + x2 + 6y + y2 = 0 The solution to this equation could not be determined.
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