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Simplifying (x + xy) * dy + (y + -1xy) * dx = 0 Reorder the terms for easier multiplication: dy(x + xy) + (y + -1xy) * dx = 0 (x * dy + xy * dy) + (y + -1xy) * dx = 0 (dxy + dxy2) + (y + -1xy) * dx = 0 Reorder the terms: dxy + dxy2 + (-1xy + y) * dx = 0 Reorder the terms for easier multiplication: dxy + dxy2 + dx(-1xy + y) = 0 dxy + dxy2 + (-1xy * dx + y * dx) = 0 Reorder the terms: dxy + dxy2 + (dxy + -1dx2y) = 0 dxy + dxy2 + (dxy + -1dx2y) = 0 Reorder the terms: dxy + dxy + dxy2 + -1dx2y = 0 Combine like terms: dxy + dxy = 2dxy 2dxy + dxy2 + -1dx2y = 0 Solving 2dxy + dxy2 + -1dx2y = 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 + y + -1x) = 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 + y + -1x)' equal to zero and attempt to solve: Simplifying 2 + y + -1x = 0 Reorder the terms: 2 + -1x + y = 0 Solving 2 + -1x + y = 0 Move all terms containing d to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -1x + -2 + y = 0 + -2 Reorder the terms: 2 + -2 + -1x + y = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x + y = 0 + -2 -1x + y = 0 + -2 Combine like terms: 0 + -2 = -2 -1x + y = -2 Add 'x' to each side of the equation. -1x + x + y = -2 + x Combine like terms: -1x + x = 0 0 + y = -2 + x y = -2 + x Add '-1y' to each side of the equation. y + -1y = -2 + x + -1y Combine like terms: y + -1y = 0 0 = -2 + x + -1y Simplifying 0 = -2 + x + -1y 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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