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Simplifying y(2x + -1x + -1) * dx + x(2y + -1x + -1) * dy = 0 Reorder the terms: y(-1 + 2x + -1x) * dx + x(2y + -1x + -1) * dy = 0 Combine like terms: 2x + -1x = 1x y(-1 + 1x) * dx + x(2y + -1x + -1) * dy = 0 Reorder the terms for easier multiplication: y * dx(-1 + 1x) + x(2y + -1x + -1) * dy = 0 Multiply y * dx dxy(-1 + 1x) + x(2y + -1x + -1) * dy = 0 (-1 * dxy + 1x * dxy) + x(2y + -1x + -1) * dy = 0 (-1dxy + 1dx2y) + x(2y + -1x + -1) * dy = 0 Reorder the terms: -1dxy + 1dx2y + x(-1 + -1x + 2y) * dy = 0 Reorder the terms for easier multiplication: -1dxy + 1dx2y + x * dy(-1 + -1x + 2y) = 0 Multiply x * dy -1dxy + 1dx2y + dxy(-1 + -1x + 2y) = 0 -1dxy + 1dx2y + (-1 * dxy + -1x * dxy + 2y * dxy) = 0 Reorder the terms: -1dxy + 1dx2y + (-1dxy + 2dxy2 + -1dx2y) = 0 -1dxy + 1dx2y + (-1dxy + 2dxy2 + -1dx2y) = 0 Reorder the terms: -1dxy + -1dxy + 2dxy2 + 1dx2y + -1dx2y = 0 Combine like terms: -1dxy + -1dxy = -2dxy -2dxy + 2dxy2 + 1dx2y + -1dx2y = 0 Combine like terms: 1dx2y + -1dx2y = 0 -2dxy + 2dxy2 + 0 = 0 -2dxy + 2dxy2 = 0 Solving -2dxy + 2dxy2 = 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), '2dxy'. 2dxy(-1 + y) = 0 Ignore the factor 2.Subproblem 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 '(-1 + y)' equal to zero and attempt to solve: Simplifying -1 + y = 0 Solving -1 + y = 0 Move all terms containing d to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + y = 0 + 1 Combine like terms: -1 + 1 = 0 0 + y = 0 + 1 y = 0 + 1 Combine like terms: 0 + 1 = 1 y = 1 Add '-1y' to each side of the equation. y + -1y = 1 + -1y Combine like terms: y + -1y = 0 0 = 1 + -1y Simplifying 0 = 1 + -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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