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Simplifying (x2y2 + xy) * ydx + (x2y2 + -1) * xdy = 0 Reorder the terms: (xy + x2y2) * ydx + (x2y2 + -1) * xdy = 0 Reorder the terms for easier multiplication: dxy(xy + x2y2) + (x2y2 + -1) * xdy = 0 (xy * dxy + x2y2 * dxy) + (x2y2 + -1) * xdy = 0 (dx2y2 + dx3y3) + (x2y2 + -1) * xdy = 0 Reorder the terms: dx2y2 + dx3y3 + (-1 + x2y2) * xdy = 0 Reorder the terms for easier multiplication: dx2y2 + dx3y3 + dxy(-1 + x2y2) = 0 dx2y2 + dx3y3 + (-1 * dxy + x2y2 * dxy) = 0 dx2y2 + dx3y3 + (-1dxy + dx3y3) = 0 Reorder the terms: -1dxy + dx2y2 + dx3y3 + dx3y3 = 0 Combine like terms: dx3y3 + dx3y3 = 2dx3y3 -1dxy + dx2y2 + 2dx3y3 = 0 Solving -1dxy + dx2y2 + 2dx3y3 = 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 + xy + 2x2y2) = 0 Factor a trinomial. dxy((-1 + -1xy)(1 + -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 '(-1 + -1xy)' equal to zero and attempt to solve: Simplifying -1 + -1xy = 0 Solving -1 + -1xy = 0 Move all terms containing d to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -1xy = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -1xy = 0 + 1 -1xy = 0 + 1 Combine like terms: 0 + 1 = 1 -1xy = 1 Add 'xy' to each side of the equation. -1xy + xy = 1 + xy Combine like terms: -1xy + xy = 0 0 = 1 + xy Simplifying 0 = 1 + xy The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 3
Set the factor '(1 + -2xy)' equal to zero and attempt to solve: Simplifying 1 + -2xy = 0 Solving 1 + -2xy = 0 Move all terms containing d to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -2xy = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2xy = 0 + -1 -2xy = 0 + -1 Combine like terms: 0 + -1 = -1 -2xy = -1 Add '2xy' to each side of the equation. -2xy + 2xy = -1 + 2xy Combine like terms: -2xy + 2xy = 0 0 = -1 + 2xy Simplifying 0 = -1 + 2xy 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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