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Simplifying (Xy2 + y + -1x) * dx + x(xy + 1) * dy = 0 Reorder the terms: (-1x + y + y2X) * dx + x(xy + 1) * dy = 0 Reorder the terms for easier multiplication: dx(-1x + y + y2X) + x(xy + 1) * dy = 0 (-1x * dx + y * dx + y2X * dx) + x(xy + 1) * dy = 0 Reorder the terms: (dxy + dxy2X + -1dx2) + x(xy + 1) * dy = 0 (dxy + dxy2X + -1dx2) + x(xy + 1) * dy = 0 Reorder the terms: dxy + dxy2X + -1dx2 + x(1 + xy) * dy = 0 Reorder the terms for easier multiplication: dxy + dxy2X + -1dx2 + x * dy(1 + xy) = 0 Multiply x * dy dxy + dxy2X + -1dx2 + dxy(1 + xy) = 0 dxy + dxy2X + -1dx2 + (1 * dxy + xy * dxy) = 0 dxy + dxy2X + -1dx2 + (1dxy + dx2y2) = 0 Reorder the terms: dxy + 1dxy + dxy2X + -1dx2 + dx2y2 = 0 Combine like terms: dxy + 1dxy = 2dxy 2dxy + dxy2X + -1dx2 + dx2y2 = 0 Solving 2dxy + dxy2X + -1dx2 + dx2y2 = 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), 'dx'. dx(2y + y2X + -1x + xy2) = 0Subproblem 1
Set the factor 'dx' equal to zero and attempt to solve: Simplifying dx = 0 Solving dx = 0 Move all terms containing d to the left, all other terms to the right. Simplifying dx = 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 '(2y + y2X + -1x + xy2)' equal to zero and attempt to solve: Simplifying 2y + y2X + -1x + xy2 = 0 Reorder the terms: -1x + xy2 + 2y + y2X = 0 Solving -1x + xy2 + 2y + y2X = 0 Move all terms containing d to the left, all other terms to the right. Add 'x' to each side of the equation. -1x + xy2 + 2y + x + y2X = 0 + x Reorder the terms: -1x + x + xy2 + 2y + y2X = 0 + x Combine like terms: -1x + x = 0 0 + xy2 + 2y + y2X = 0 + x xy2 + 2y + y2X = 0 + x Remove the zero: xy2 + 2y + y2X = x Add '-1xy2' to each side of the equation. xy2 + 2y + -1xy2 + y2X = x + -1xy2 Reorder the terms: xy2 + -1xy2 + 2y + y2X = x + -1xy2 Combine like terms: xy2 + -1xy2 = 0 0 + 2y + y2X = x + -1xy2 2y + y2X = x + -1xy2 Add '-2y' to each side of the equation. 2y + -2y + y2X = x + -1xy2 + -2y Combine like terms: 2y + -2y = 0 0 + y2X = x + -1xy2 + -2y y2X = x + -1xy2 + -2y Add '-1y2X' to each side of the equation. y2X + -1y2X = x + -1xy2 + -2y + -1y2X Combine like terms: y2X + -1y2X = 0 0 = x + -1xy2 + -2y + -1y2X Simplifying 0 = x + -1xy2 + -2y + -1y2X 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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