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Simplifying (y2 + -2xy) * dx + (3x2 + -1xy2) * dy = 0 Reorder the terms: (-2xy + y2) * dx + (3x2 + -1xy2) * dy = 0 Reorder the terms for easier multiplication: dx(-2xy + y2) + (3x2 + -1xy2) * dy = 0 (-2xy * dx + y2 * dx) + (3x2 + -1xy2) * dy = 0 Reorder the terms: (dxy2 + -2dx2y) + (3x2 + -1xy2) * dy = 0 (dxy2 + -2dx2y) + (3x2 + -1xy2) * dy = 0 Reorder the terms: dxy2 + -2dx2y + (-1xy2 + 3x2) * dy = 0 Reorder the terms for easier multiplication: dxy2 + -2dx2y + dy(-1xy2 + 3x2) = 0 dxy2 + -2dx2y + (-1xy2 * dy + 3x2 * dy) = 0 dxy2 + -2dx2y + (-1dxy3 + 3dx2y) = 0 Reorder the terms: dxy2 + -1dxy3 + -2dx2y + 3dx2y = 0 Combine like terms: -2dx2y + 3dx2y = 1dx2y dxy2 + -1dxy3 + 1dx2y = 0 Solving dxy2 + -1dxy3 + 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(y + -1y2 + 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 '(y + -1y2 + x)' equal to zero and attempt to solve: Simplifying y + -1y2 + x = 0 Reorder the terms: x + y + -1y2 = 0 Solving x + y + -1y2 = 0 Move all terms containing d to the left, all other terms to the right. Add '-1x' to each side of the equation. x + y + -1x + -1y2 = 0 + -1x Reorder the terms: x + -1x + y + -1y2 = 0 + -1x Combine like terms: x + -1x = 0 0 + y + -1y2 = 0 + -1x y + -1y2 = 0 + -1x Remove the zero: y + -1y2 = -1x Add '-1y' to each side of the equation. y + -1y + -1y2 = -1x + -1y Combine like terms: y + -1y = 0 0 + -1y2 = -1x + -1y -1y2 = -1x + -1y Add 'y2' to each side of the equation. -1y2 + y2 = -1x + -1y + y2 Combine like terms: -1y2 + y2 = 0 0 = -1x + -1y + y2 Simplifying 0 = -1x + -1y + y2 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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