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Simplifying (1 + x) * y2dx + (1 + -1y) * xdy = 0 Reorder the terms for easier multiplication: dxy2(1 + x) + (1 + -1y) * xdy = 0 (1 * dxy2 + x * dxy2) + (1 + -1y) * xdy = 0 (1dxy2 + dx2y2) + (1 + -1y) * xdy = 0 Reorder the terms for easier multiplication: 1dxy2 + dx2y2 + dxy(1 + -1y) = 0 1dxy2 + dx2y2 + (1 * dxy + -1y * dxy) = 0 1dxy2 + dx2y2 + (1dxy + -1dxy2) = 0 Reorder the terms: 1dxy + 1dxy2 + -1dxy2 + dx2y2 = 0 Combine like terms: 1dxy2 + -1dxy2 = 0 1dxy + 0 + dx2y2 = 0 1dxy + dx2y2 = 0 Solving 1dxy + dx2y2 = 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(1 + xy) = 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 '(1 + xy)' equal to zero and attempt to solve: Simplifying 1 + xy = 0 Solving 1 + xy = 0 Move all terms containing d to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + xy = 0 + -1 Combine like terms: 1 + -1 = 0 0 + xy = 0 + -1 xy = 0 + -1 Combine like terms: 0 + -1 = -1 xy = -1 Add '-1xy' to each side of the equation. xy + -1xy = -1 + -1xy Combine like terms: xy + -1xy = 0 0 = -1 + -1xy Simplifying 0 = -1 + -1xy 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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