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