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Simplifying (X2 + y2) + (x2 + xy) * dy = 0 Remove parenthesis around (X2 + y2) X2 + y2 + (x2 + xy) * dy = 0 Reorder the terms: X2 + y2 + (xy + x2) * dy = 0 Reorder the terms for easier multiplication: X2 + y2 + dy(xy + x2) = 0 X2 + y2 + (xy * dy + x2 * dy) = 0 X2 + y2 + (dxy2 + dx2y) = 0 Reorder the terms: X2 + dxy2 + dx2y + y2 = 0 Solving X2 + dxy2 + dx2y + y2 = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-1dxy2' to each side of the equation. X2 + dxy2 + dx2y + -1dxy2 + y2 = 0 + -1dxy2 Reorder the terms: X2 + dxy2 + -1dxy2 + dx2y + y2 = 0 + -1dxy2 Combine like terms: dxy2 + -1dxy2 = 0 X2 + 0 + dx2y + y2 = 0 + -1dxy2 X2 + dx2y + y2 = 0 + -1dxy2 Remove the zero: X2 + dx2y + y2 = -1dxy2 Add '-1dx2y' to each side of the equation. X2 + dx2y + -1dx2y + y2 = -1dxy2 + -1dx2y Combine like terms: dx2y + -1dx2y = 0 X2 + 0 + y2 = -1dxy2 + -1dx2y X2 + y2 = -1dxy2 + -1dx2y Add '-1y2' to each side of the equation. X2 + y2 + -1y2 = -1dxy2 + -1dx2y + -1y2 Combine like terms: y2 + -1y2 = 0 X2 + 0 = -1dxy2 + -1dx2y + -1y2 X2 = -1dxy2 + -1dx2y + -1y2 Simplifying X2 = -1dxy2 + -1dx2y + -1y2 Reorder the terms: X2 + dxy2 + dx2y + y2 = -1dxy2 + dxy2 + -1dx2y + dx2y + -1y2 + y2 Combine like terms: -1dxy2 + dxy2 = 0 X2 + dxy2 + dx2y + y2 = 0 + -1dx2y + dx2y + -1y2 + y2 X2 + dxy2 + dx2y + y2 = -1dx2y + dx2y + -1y2 + y2 Combine like terms: -1dx2y + dx2y = 0 X2 + dxy2 + dx2y + y2 = 0 + -1y2 + y2 X2 + dxy2 + dx2y + y2 = -1y2 + y2 Combine like terms: -1y2 + y2 = 0 X2 + dxy2 + dx2y + y2 = 0 The solution to this equation could not be determined.
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