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