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Simplifying y(2x + -1y + -1) * dx + x(2y + -1x + -1) * dy = 0 Reorder the terms: y(-1 + 2x + -1y) * dx + x(2y + -1x + -1) * dy = 0 Reorder the terms for easier multiplication: y * dx(-1 + 2x + -1y) + x(2y + -1x + -1) * dy = 0 Multiply y * dx dxy(-1 + 2x + -1y) + x(2y + -1x + -1) * dy = 0 (-1 * dxy + 2x * dxy + -1y * dxy) + x(2y + -1x + -1) * dy = 0 Reorder the terms: (-1dxy + -1dxy2 + 2dx2y) + x(2y + -1x + -1) * dy = 0 (-1dxy + -1dxy2 + 2dx2y) + x(2y + -1x + -1) * dy = 0 Reorder the terms: -1dxy + -1dxy2 + 2dx2y + x(-1 + -1x + 2y) * dy = 0 Reorder the terms for easier multiplication: -1dxy + -1dxy2 + 2dx2y + x * dy(-1 + -1x + 2y) = 0 Multiply x * dy -1dxy + -1dxy2 + 2dx2y + dxy(-1 + -1x + 2y) = 0 -1dxy + -1dxy2 + 2dx2y + (-1 * dxy + -1x * dxy + 2y * dxy) = 0 Reorder the terms: -1dxy + -1dxy2 + 2dx2y + (-1dxy + 2dxy2 + -1dx2y) = 0 -1dxy + -1dxy2 + 2dx2y + (-1dxy + 2dxy2 + -1dx2y) = 0 Reorder the terms: -1dxy + -1dxy + -1dxy2 + 2dxy2 + 2dx2y + -1dx2y = 0 Combine like terms: -1dxy + -1dxy = -2dxy -2dxy + -1dxy2 + 2dxy2 + 2dx2y + -1dx2y = 0 Combine like terms: -1dxy2 + 2dxy2 = 1dxy2 -2dxy + 1dxy2 + 2dx2y + -1dx2y = 0 Combine like terms: 2dx2y + -1dx2y = 1dx2y -2dxy + 1dxy2 + 1dx2y = 0 Solving -2dxy + 1dxy2 + 1dx2y = 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), 'dxy'. dxy(-2 + y + x) = 0Subproblem 1
Set the factor 'dxy' equal to zero and attempt to solve: Simplifying dxy = 0 Solving dxy = 0 Move all terms containing d to the left, all other terms to the right. Simplifying dxy = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(-2 + y + x)' equal to zero and attempt to solve: Simplifying -2 + y + x = 0 Reorder the terms: -2 + x + y = 0 Solving -2 + x + y = 0 Move all terms containing d to the left, all other terms to the right. Add '2' to each side of the equation. -2 + x + 2 + y = 0 + 2 Reorder the terms: -2 + 2 + x + y = 0 + 2 Combine like terms: -2 + 2 = 0 0 + x + y = 0 + 2 x + y = 0 + 2 Combine like terms: 0 + 2 = 2 x + y = 2 Add '-1x' to each side of the equation. x + -1x + y = 2 + -1x Combine like terms: x + -1x = 0 0 + y = 2 + -1x y = 2 + -1x Add '-1y' to each side of the equation. y + -1y = 2 + -1x + -1y Combine like terms: y + -1y = 0 0 = 2 + -1x + -1y Simplifying 0 = 2 + -1x + -1y The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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