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Simplifying (1 + 3y) * dx + -1(6 + -1x) * dy = 0 Reorder the terms for easier multiplication: dx(1 + 3y) + -1(6 + -1x) * dy = 0 (1 * dx + 3y * dx) + -1(6 + -1x) * dy = 0 (1dx + 3dxy) + -1(6 + -1x) * dy = 0 Reorder the terms for easier multiplication: 1dx + 3dxy + -1dy(6 + -1x) = 0 1dx + 3dxy + (6 * -1dy + -1x * -1dy) = 0 Reorder the terms: 1dx + 3dxy + (1dxy + -6dy) = 0 1dx + 3dxy + (1dxy + -6dy) = 0 Combine like terms: 3dxy + 1dxy = 4dxy 1dx + 4dxy + -6dy = 0 Solving 1dx + 4dxy + -6dy = 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 + 4xy + -6y) = 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 + 4xy + -6y)' equal to zero and attempt to solve: Simplifying x + 4xy + -6y = 0 Solving x + 4xy + -6y = 0 Move all terms containing d to the left, all other terms to the right. Add '-1x' to each side of the equation. x + 4xy + -1x + -6y = 0 + -1x Reorder the terms: x + -1x + 4xy + -6y = 0 + -1x Combine like terms: x + -1x = 0 0 + 4xy + -6y = 0 + -1x 4xy + -6y = 0 + -1x Remove the zero: 4xy + -6y = -1x Add '-4xy' to each side of the equation. 4xy + -4xy + -6y = -1x + -4xy Combine like terms: 4xy + -4xy = 0 0 + -6y = -1x + -4xy -6y = -1x + -4xy Add '6y' to each side of the equation. -6y + 6y = -1x + -4xy + 6y Combine like terms: -6y + 6y = 0 0 = -1x + -4xy + 6y Simplifying 0 = -1x + -4xy + 6y 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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