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Simplifying (y + -1xy2) * dx + (x + x2y2) * dy = 0 Reorder the terms: (-1xy2 + y) * dx + (x + x2y2) * dy = 0 Reorder the terms for easier multiplication: dx(-1xy2 + y) + (x + x2y2) * dy = 0 (-1xy2 * dx + y * dx) + (x + x2y2) * dy = 0 Reorder the terms: (dxy + -1dx2y2) + (x + x2y2) * dy = 0 (dxy + -1dx2y2) + (x + x2y2) * dy = 0 Reorder the terms for easier multiplication: dxy + -1dx2y2 + dy(x + x2y2) = 0 dxy + -1dx2y2 + (x * dy + x2y2 * dy) = 0 dxy + -1dx2y2 + (dxy + dx2y3) = 0 Reorder the terms: dxy + dxy + -1dx2y2 + dx2y3 = 0 Combine like terms: dxy + dxy = 2dxy 2dxy + -1dx2y2 + dx2y3 = 0 Solving 2dxy + -1dx2y2 + dx2y3 = 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), 'dxy'. dxy(2 + -1xy + xy2) = 0Subproblem 1
Set the factor 'dxy' equal to zero and attempt to solve: Simplifying dxy = 0 Solving dxy = 0 Move all terms containing d to the left, all other terms to the right. Simplifying dxy = 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 '(2 + -1xy + xy2)' equal to zero and attempt to solve: Simplifying 2 + -1xy + xy2 = 0 Solving 2 + -1xy + xy2 = 0 Move all terms containing d to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -1xy + -2 + xy2 = 0 + -2 Reorder the terms: 2 + -2 + -1xy + xy2 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1xy + xy2 = 0 + -2 -1xy + xy2 = 0 + -2 Combine like terms: 0 + -2 = -2 -1xy + xy2 = -2 Add 'xy' to each side of the equation. -1xy + xy + xy2 = -2 + xy Combine like terms: -1xy + xy = 0 0 + xy2 = -2 + xy xy2 = -2 + xy Add '-1xy2' to each side of the equation. xy2 + -1xy2 = -2 + xy + -1xy2 Combine like terms: xy2 + -1xy2 = 0 0 = -2 + xy + -1xy2 Simplifying 0 = -2 + xy + -1xy2 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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