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