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Simplifying (x2y2 + 1) * dx + 2x2dy = 0 Reorder the terms: (1 + x2y2) * dx + 2x2dy = 0 Reorder the terms for easier multiplication: dx(1 + x2y2) + 2x2dy = 0 (1 * dx + x2y2 * dx) + 2x2dy = 0 (1dx + dx3y2) + 2x2dy = 0 Reorder the terms: 1dx + 2dx2y + dx3y2 = 0 Solving 1dx + 2dx2y + dx3y2 = 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 + 2xy + x2y2) = 0 Factor a trinomial. dx((1 + xy)(1 + xy)) = 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 + xy)' equal to zero and attempt to solve: Simplifying 1 + xy = 0 Solving 1 + xy = 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 + xy = 0 + -1 Combine like terms: 1 + -1 = 0 0 + xy = 0 + -1 xy = 0 + -1 Combine like terms: 0 + -1 = -1 xy = -1 Add '-1xy' to each side of the equation. xy + -1xy = -1 + -1xy Combine like terms: xy + -1xy = 0 0 = -1 + -1xy Simplifying 0 = -1 + -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 '(1 + xy)' equal to zero and attempt to solve: Simplifying 1 + xy = 0 Solving 1 + xy = 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 + xy = 0 + -1 Combine like terms: 1 + -1 = 0 0 + xy = 0 + -1 xy = 0 + -1 Combine like terms: 0 + -1 = -1 xy = -1 Add '-1xy' to each side of the equation. xy + -1xy = -1 + -1xy Combine like terms: xy + -1xy = 0 0 = -1 + -1xy Simplifying 0 = -1 + -1xy 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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