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Simplifying (x2 + -1yx2) * dy + (y2 + x2y2) * dx = 0 Reorder the terms for easier multiplication: dy(x2 + -1x2y) + (y2 + x2y2) * dx = 0 (x2 * dy + -1x2y * dy) + (y2 + x2y2) * dx = 0 (dx2y + -1dx2y2) + (y2 + x2y2) * dx = 0 Reorder the terms: dx2y + -1dx2y2 + (x2y2 + y2) * dx = 0 Reorder the terms for easier multiplication: dx2y + -1dx2y2 + dx(x2y2 + y2) = 0 dx2y + -1dx2y2 + (x2y2 * dx + y2 * dx) = 0 Reorder the terms: dx2y + -1dx2y2 + (dxy2 + dx3y2) = 0 dx2y + -1dx2y2 + (dxy2 + dx3y2) = 0 Reorder the terms: dxy2 + dx2y + -1dx2y2 + dx3y2 = 0 Solving dxy2 + dx2y + -1dx2y2 + dx3y2 = 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(y + x + -1xy + x2y) = 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 '(y + x + -1xy + x2y)' equal to zero and attempt to solve: Simplifying y + x + -1xy + x2y = 0 Reorder the terms: x + -1xy + x2y + y = 0 Solving x + -1xy + x2y + y = 0 Move all terms containing d to the left, all other terms to the right. Add '-1x' to each side of the equation. x + -1xy + x2y + -1x + y = 0 + -1x Reorder the terms: x + -1x + -1xy + x2y + y = 0 + -1x Combine like terms: x + -1x = 0 0 + -1xy + x2y + y = 0 + -1x -1xy + x2y + y = 0 + -1x Remove the zero: -1xy + x2y + y = -1x Add 'xy' to each side of the equation. -1xy + x2y + xy + y = -1x + xy Reorder the terms: -1xy + xy + x2y + y = -1x + xy Combine like terms: -1xy + xy = 0 0 + x2y + y = -1x + xy x2y + y = -1x + xy Add '-1x2y' to each side of the equation. x2y + -1x2y + y = -1x + xy + -1x2y Combine like terms: x2y + -1x2y = 0 0 + y = -1x + xy + -1x2y y = -1x + xy + -1x2y Add '-1y' to each side of the equation. y + -1y = -1x + xy + -1x2y + -1y Combine like terms: y + -1y = 0 0 = -1x + xy + -1x2y + -1y Simplifying 0 = -1x + xy + -1x2y + -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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