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