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Simplifying y(xy + 1) * dx + (1 + xy + x2y2) * dy = 0 Reorder the terms: y(1 + xy) * dx + (1 + xy + x2y2) * dy = 0 Reorder the terms for easier multiplication: y * dx(1 + xy) + (1 + xy + x2y2) * dy = 0 Multiply y * dx dxy(1 + xy) + (1 + xy + x2y2) * dy = 0 (1 * dxy + xy * dxy) + (1 + xy + x2y2) * dy = 0 (1dxy + dx2y2) + (1 + xy + x2y2) * dy = 0 Reorder the terms for easier multiplication: 1dxy + dx2y2 + dy(1 + xy + x2y2) = 0 1dxy + dx2y2 + (1 * dy + xy * dy + x2y2 * dy) = 0 Reorder the terms: 1dxy + dx2y2 + (dxy2 + dx2y3 + 1dy) = 0 1dxy + dx2y2 + (dxy2 + dx2y3 + 1dy) = 0 Reorder the terms: 1dxy + dxy2 + dx2y2 + dx2y3 + 1dy = 0 Solving 1dxy + dxy2 + dx2y2 + dx2y3 + 1dy = 0 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), 'dy'. dy(x + xy + x2y + x2y2 + 1) = 0Subproblem 1
Set the factor 'dy' equal to zero and attempt to solve: Simplifying dy = 0 Solving dy = 0 Move all terms containing d to the left, all other terms to the right. Simplifying dy = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(x + xy + x2y + x2y2 + 1)' equal to zero and attempt to solve: Simplifying x + xy + x2y + x2y2 + 1 = 0 Reorder the terms: 1 + x + xy + x2y + x2y2 = 0 Solving 1 + x + xy + x2y + x2y2 = 0 Move all terms containing d to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + x + xy + x2y + -1 + x2y2 = 0 + -1 Reorder the terms: 1 + -1 + x + xy + x2y + x2y2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + x + xy + x2y + x2y2 = 0 + -1 x + xy + x2y + x2y2 = 0 + -1 Combine like terms: 0 + -1 = -1 x + xy + x2y + x2y2 = -1 Add '-1x' to each side of the equation. x + xy + x2y + -1x + x2y2 = -1 + -1x Reorder the terms: x + -1x + xy + x2y + x2y2 = -1 + -1x Combine like terms: x + -1x = 0 0 + xy + x2y + x2y2 = -1 + -1x xy + x2y + x2y2 = -1 + -1x Add '-1xy' to each side of the equation. xy + x2y + -1xy + x2y2 = -1 + -1x + -1xy Reorder the terms: xy + -1xy + x2y + x2y2 = -1 + -1x + -1xy Combine like terms: xy + -1xy = 0 0 + x2y + x2y2 = -1 + -1x + -1xy x2y + x2y2 = -1 + -1x + -1xy Add '-1x2y' to each side of the equation. x2y + -1x2y + x2y2 = -1 + -1x + -1xy + -1x2y Combine like terms: x2y + -1x2y = 0 0 + x2y2 = -1 + -1x + -1xy + -1x2y x2y2 = -1 + -1x + -1xy + -1x2y Add '-1x2y2' to each side of the equation. x2y2 + -1x2y2 = -1 + -1x + -1xy + -1x2y + -1x2y2 Combine like terms: x2y2 + -1x2y2 = 0 0 = -1 + -1x + -1xy + -1x2y + -1x2y2 Simplifying 0 = -1 + -1x + -1xy + -1x2y + -1x2y2 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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