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Simplifying (1 + -1x) * dy + (4 + -1y) * dx = 0 Reorder the terms for easier multiplication: dy(1 + -1x) + (4 + -1y) * dx = 0 (1 * dy + -1x * dy) + (4 + -1y) * dx = 0 Reorder the terms: (-1dxy + 1dy) + (4 + -1y) * dx = 0 (-1dxy + 1dy) + (4 + -1y) * dx = 0 Reorder the terms for easier multiplication: -1dxy + 1dy + dx(4 + -1y) = 0 -1dxy + 1dy + (4 * dx + -1y * dx) = 0 -1dxy + 1dy + (4dx + -1dxy) = 0 Reorder the terms: 4dx + -1dxy + -1dxy + 1dy = 0 Combine like terms: -1dxy + -1dxy = -2dxy 4dx + -2dxy + 1dy = 0 Solving 4dx + -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(4x + -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 '(4x + -2xy + y)' equal to zero and attempt to solve: Simplifying 4x + -2xy + y = 0 Solving 4x + -2xy + y = 0 Move all terms containing d to the left, all other terms to the right. Add '-4x' to each side of the equation. 4x + -2xy + -4x + y = 0 + -4x Reorder the terms: 4x + -4x + -2xy + y = 0 + -4x Combine like terms: 4x + -4x = 0 0 + -2xy + y = 0 + -4x -2xy + y = 0 + -4x Remove the zero: -2xy + y = -4x Add '2xy' to each side of the equation. -2xy + 2xy + y = -4x + 2xy Combine like terms: -2xy + 2xy = 0 0 + y = -4x + 2xy y = -4x + 2xy Add '-1y' to each side of the equation. y + -1y = -4x + 2xy + -1y Combine like terms: y + -1y = 0 0 = -4x + 2xy + -1y Simplifying 0 = -4x + 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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