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Simplifying y(x2y2 + 2) * dx + x(2 + -2x2y2) * dy = 0 Reorder the terms: y(2 + x2y2) * dx + x(2 + -2x2y2) * dy = 0 Reorder the terms for easier multiplication: y * dx(2 + x2y2) + x(2 + -2x2y2) * dy = 0 Multiply y * dx dxy(2 + x2y2) + x(2 + -2x2y2) * dy = 0 (2 * dxy + x2y2 * dxy) + x(2 + -2x2y2) * dy = 0 (2dxy + dx3y3) + x(2 + -2x2y2) * dy = 0 Reorder the terms for easier multiplication: 2dxy + dx3y3 + x * dy(2 + -2x2y2) = 0 Multiply x * dy 2dxy + dx3y3 + dxy(2 + -2x2y2) = 0 2dxy + dx3y3 + (2 * dxy + -2x2y2 * dxy) = 0 2dxy + dx3y3 + (2dxy + -2dx3y3) = 0 Reorder the terms: 2dxy + 2dxy + dx3y3 + -2dx3y3 = 0 Combine like terms: 2dxy + 2dxy = 4dxy 4dxy + dx3y3 + -2dx3y3 = 0 Combine like terms: dx3y3 + -2dx3y3 = -1dx3y3 4dxy + -1dx3y3 = 0 Solving 4dxy + -1dx3y3 = 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(4 + -1x2y2) = 0 Factor a difference between two squares. dxy((2 + xy)(2 + -1xy)) = 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 '(2 + xy)' equal to zero and attempt to solve: Simplifying 2 + xy = 0 Solving 2 + xy = 0 Move all terms containing d to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + xy = 0 + -2 Combine like terms: 2 + -2 = 0 0 + xy = 0 + -2 xy = 0 + -2 Combine like terms: 0 + -2 = -2 xy = -2 Add '-1xy' to each side of the equation. xy + -1xy = -2 + -1xy Combine like terms: xy + -1xy = 0 0 = -2 + -1xy Simplifying 0 = -2 + -1xy 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 '(2 + -1xy)' equal to zero and attempt to solve: Simplifying 2 + -1xy = 0 Solving 2 + -1xy = 0 Move all terms containing d to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1xy = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1xy = 0 + -2 -1xy = 0 + -2 Combine like terms: 0 + -2 = -2 -1xy = -2 Add 'xy' to each side of the equation. -1xy + xy = -2 + xy Combine like terms: -1xy + xy = 0 0 = -2 + xy Simplifying 0 = -2 + xy 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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