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