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