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Simplifying (2x + -2y) * dx + (-1x + y + 1) * dy = 0 Reorder the terms for easier multiplication: dx(2x + -2y) + (-1x + y + 1) * dy = 0 (2x * dx + -2y * dx) + (-1x + y + 1) * dy = 0 Reorder the terms: (-2dxy + 2dx2) + (-1x + y + 1) * dy = 0 (-2dxy + 2dx2) + (-1x + y + 1) * dy = 0 Reorder the terms: -2dxy + 2dx2 + (1 + -1x + y) * dy = 0 Reorder the terms for easier multiplication: -2dxy + 2dx2 + dy(1 + -1x + y) = 0 -2dxy + 2dx2 + (1 * dy + -1x * dy + y * dy) = 0 Reorder the terms: -2dxy + 2dx2 + (-1dxy + 1dy + dy2) = 0 -2dxy + 2dx2 + (-1dxy + 1dy + dy2) = 0 Reorder the terms: -2dxy + -1dxy + 2dx2 + 1dy + dy2 = 0 Combine like terms: -2dxy + -1dxy = -3dxy -3dxy + 2dx2 + 1dy + dy2 = 0 Solving -3dxy + 2dx2 + 1dy + 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(-3xy + 2x2 + y + 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 '(-3xy + 2x2 + y + y2)' equal to zero and attempt to solve: Simplifying -3xy + 2x2 + y + y2 = 0 Solving -3xy + 2x2 + y + y2 = 0 Move all terms containing d to the left, all other terms to the right. Add '3xy' to each side of the equation. -3xy + 2x2 + y + 3xy + y2 = 0 + 3xy Reorder the terms: -3xy + 3xy + 2x2 + y + y2 = 0 + 3xy Combine like terms: -3xy + 3xy = 0 0 + 2x2 + y + y2 = 0 + 3xy 2x2 + y + y2 = 0 + 3xy Remove the zero: 2x2 + y + y2 = 3xy Add '-2x2' to each side of the equation. 2x2 + y + -2x2 + y2 = 3xy + -2x2 Reorder the terms: 2x2 + -2x2 + y + y2 = 3xy + -2x2 Combine like terms: 2x2 + -2x2 = 0 0 + y + y2 = 3xy + -2x2 y + y2 = 3xy + -2x2 Add '-1y' to each side of the equation. y + -1y + y2 = 3xy + -2x2 + -1y Combine like terms: y + -1y = 0 0 + y2 = 3xy + -2x2 + -1y y2 = 3xy + -2x2 + -1y Add '-1y2' to each side of the equation. y2 + -1y2 = 3xy + -2x2 + -1y + -1y2 Combine like terms: y2 + -1y2 = 0 0 = 3xy + -2x2 + -1y + -1y2 Simplifying 0 = 3xy + -2x2 + -1y + -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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