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Simplifying (y + -1x) * dx + (x + y) * dy = 0 Reorder the terms: (-1x + y) * dx + (x + y) * dy = 0 Reorder the terms for easier multiplication: dx(-1x + y) + (x + y) * dy = 0 (-1x * dx + y * dx) + (x + y) * dy = 0 Reorder the terms: (dxy + -1dx2) + (x + y) * dy = 0 (dxy + -1dx2) + (x + y) * dy = 0 Reorder the terms for easier multiplication: dxy + -1dx2 + dy(x + y) = 0 dxy + -1dx2 + (x * dy + y * dy) = 0 dxy + -1dx2 + (dxy + dy2) = 0 Reorder the terms: dxy + dxy + -1dx2 + dy2 = 0 Combine like terms: dxy + dxy = 2dxy 2dxy + -1dx2 + dy2 = 0 Solving 2dxy + -1dx2 + dy2 = 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 + -1x2 + y2) = 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 + -1x2 + y2)' equal to zero and attempt to solve: Simplifying 2xy + -1x2 + y2 = 0 Solving 2xy + -1x2 + y2 = 0 Move all terms containing d to the left, all other terms to the right. Add '-2xy' to each side of the equation. 2xy + -1x2 + -2xy + y2 = 0 + -2xy Reorder the terms: 2xy + -2xy + -1x2 + y2 = 0 + -2xy Combine like terms: 2xy + -2xy = 0 0 + -1x2 + y2 = 0 + -2xy -1x2 + y2 = 0 + -2xy Remove the zero: -1x2 + y2 = -2xy Add 'x2' to each side of the equation. -1x2 + x2 + y2 = -2xy + x2 Combine like terms: -1x2 + x2 = 0 0 + y2 = -2xy + x2 y2 = -2xy + x2 Add '-1y2' to each side of the equation. y2 + -1y2 = -2xy + x2 + -1y2 Combine like terms: y2 + -1y2 = 0 0 = -2xy + x2 + -1y2 Simplifying 0 = -2xy + x2 + -1y2 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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