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Simplifying (xy2 + y2) * dx + -1xdy = 0 Reorder the terms for easier multiplication: dx(xy2 + y2) + -1xdy = 0 (xy2 * dx + y2 * dx) + -1xdy = 0 Reorder the terms: (dxy2 + dx2y2) + -1xdy = 0 (dxy2 + dx2y2) + -1xdy = 0 Reorder the terms: -1dxy + dxy2 + dx2y2 = 0 Solving -1dxy + dxy2 + 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), 'dxy'. dxy(-1 + y + xy) = 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 '(-1 + y + xy)' equal to zero and attempt to solve: Simplifying -1 + y + xy = 0 Reorder the terms: -1 + xy + y = 0 Solving -1 + xy + y = 0 Move all terms containing d to the left, all other terms to the right. Add '1' to each side of the equation. -1 + xy + 1 + y = 0 + 1 Reorder the terms: -1 + 1 + xy + y = 0 + 1 Combine like terms: -1 + 1 = 0 0 + xy + y = 0 + 1 xy + y = 0 + 1 Combine like terms: 0 + 1 = 1 xy + y = 1 Add '-1xy' to each side of the equation. xy + -1xy + y = 1 + -1xy Combine like terms: xy + -1xy = 0 0 + y = 1 + -1xy y = 1 + -1xy Add '-1y' to each side of the equation. y + -1y = 1 + -1xy + -1y Combine like terms: y + -1y = 0 0 = 1 + -1xy + -1y Simplifying 0 = 1 + -1xy + -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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