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Simplifying (y2 + xy2) * dx + (x2 + yx2) * dy = 0 Reorder the terms: (xy2 + y2) * dx + (x2 + yx2) * dy = 0 Reorder the terms for easier multiplication: dx(xy2 + y2) + (x2 + yx2) * dy = 0 (xy2 * dx + y2 * dx) + (x2 + yx2) * dy = 0 Reorder the terms: (dxy2 + dx2y2) + (x2 + yx2) * dy = 0 (dxy2 + dx2y2) + (x2 + yx2) * dy = 0 Reorder the terms for easier multiplication: dxy2 + dx2y2 + dy(x2 + x2y) = 0 dxy2 + dx2y2 + (x2 * dy + x2y * dy) = 0 dxy2 + dx2y2 + (dx2y + dx2y2) = 0 Reorder the terms: dxy2 + dx2y + dx2y2 + dx2y2 = 0 Combine like terms: dx2y2 + dx2y2 = 2dx2y2 dxy2 + dx2y + 2dx2y2 = 0 Solving dxy2 + dx2y + 2dx2y2 = 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 + 2xy) = 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 + 2xy)' equal to zero and attempt to solve: Simplifying y + x + 2xy = 0 Reorder the terms: x + 2xy + y = 0 Solving x + 2xy + 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 + 2xy + -1x + y = 0 + -1x Reorder the terms: x + -1x + 2xy + y = 0 + -1x Combine like terms: x + -1x = 0 0 + 2xy + y = 0 + -1x 2xy + y = 0 + -1x Remove the zero: 2xy + y = -1x Add '-2xy' to each side of the equation. 2xy + -2xy + y = -1x + -2xy Combine like terms: 2xy + -2xy = 0 0 + y = -1x + -2xy y = -1x + -2xy Add '-1y' to each side of the equation. y + -1y = -1x + -2xy + -1y Combine like terms: y + -1y = 0 0 = -1x + -2xy + -1y Simplifying 0 = -1x + -2xy + -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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