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Simplifying (x + 1) * dy + (2y + -6x + -6) * dx = 0 Reorder the terms: (1 + x) * dy + (2y + -6x + -6) * dx = 0 Reorder the terms for easier multiplication: dy(1 + x) + (2y + -6x + -6) * dx = 0 (1 * dy + x * dy) + (2y + -6x + -6) * dx = 0 Reorder the terms: (dxy + 1dy) + (2y + -6x + -6) * dx = 0 (dxy + 1dy) + (2y + -6x + -6) * dx = 0 Reorder the terms: dxy + 1dy + (-6 + -6x + 2y) * dx = 0 Reorder the terms for easier multiplication: dxy + 1dy + dx(-6 + -6x + 2y) = 0 dxy + 1dy + (-6 * dx + -6x * dx + 2y * dx) = 0 Reorder the terms: dxy + 1dy + (-6dx + 2dxy + -6dx2) = 0 dxy + 1dy + (-6dx + 2dxy + -6dx2) = 0 Reorder the terms: -6dx + dxy + 2dxy + -6dx2 + 1dy = 0 Combine like terms: dxy + 2dxy = 3dxy -6dx + 3dxy + -6dx2 + 1dy = 0 Solving -6dx + 3dxy + -6dx2 + 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(-6x + 3xy + -6x2 + 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 '(-6x + 3xy + -6x2 + y)' equal to zero and attempt to solve: Simplifying -6x + 3xy + -6x2 + y = 0 Solving -6x + 3xy + -6x2 + y = 0 Move all terms containing d to the left, all other terms to the right. Add '6x' to each side of the equation. -6x + 3xy + -6x2 + 6x + y = 0 + 6x Reorder the terms: -6x + 6x + 3xy + -6x2 + y = 0 + 6x Combine like terms: -6x + 6x = 0 0 + 3xy + -6x2 + y = 0 + 6x 3xy + -6x2 + y = 0 + 6x Remove the zero: 3xy + -6x2 + y = 6x Add '-3xy' to each side of the equation. 3xy + -6x2 + -3xy + y = 6x + -3xy Reorder the terms: 3xy + -3xy + -6x2 + y = 6x + -3xy Combine like terms: 3xy + -3xy = 0 0 + -6x2 + y = 6x + -3xy -6x2 + y = 6x + -3xy Add '6x2' to each side of the equation. -6x2 + 6x2 + y = 6x + -3xy + 6x2 Combine like terms: -6x2 + 6x2 = 0 0 + y = 6x + -3xy + 6x2 y = 6x + -3xy + 6x2 Add '-1y' to each side of the equation. y + -1y = 6x + -3xy + 6x2 + -1y Combine like terms: y + -1y = 0 0 = 6x + -3xy + 6x2 + -1y Simplifying 0 = 6x + -3xy + 6x2 + -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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