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