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Simplifying (1 + -1x2y)(dx) + x2(y + -1x)(dy) = 0 Reorder the terms for easier multiplication: dx(1 + -1x2y) + x2(y + -1x)(dy) = 0 (1 * dx + -1x2y * dx) + x2(y + -1x)(dy) = 0 (1dx + -1dx3y) + x2(y + -1x)(dy) = 0 Reorder the terms: 1dx + -1dx3y + x2(-1x + y)(dy) = 0 Reorder the terms for easier multiplication: 1dx + -1dx3y + x2 * dy(-1x + y) = 0 Multiply x2 * dy 1dx + -1dx3y + dx2y(-1x + y) = 0 1dx + -1dx3y + (-1x * dx2y + y * dx2y) = 0 Reorder the terms: 1dx + -1dx3y + (dx2y2 + -1dx3y) = 0 1dx + -1dx3y + (dx2y2 + -1dx3y) = 0 Reorder the terms: 1dx + dx2y2 + -1dx3y + -1dx3y = 0 Combine like terms: -1dx3y + -1dx3y = -2dx3y 1dx + dx2y2 + -2dx3y = 0 Solving 1dx + dx2y2 + -2dx3y = 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 + xy2 + -2x2y) = 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 + xy2 + -2x2y)' equal to zero and attempt to solve: Simplifying 1 + xy2 + -2x2y = 0 Solving 1 + xy2 + -2x2y = 0 Move all terms containing d to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + xy2 + -1 + -2x2y = 0 + -1 Reorder the terms: 1 + -1 + xy2 + -2x2y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + xy2 + -2x2y = 0 + -1 xy2 + -2x2y = 0 + -1 Combine like terms: 0 + -1 = -1 xy2 + -2x2y = -1 Add '-1xy2' to each side of the equation. xy2 + -1xy2 + -2x2y = -1 + -1xy2 Combine like terms: xy2 + -1xy2 = 0 0 + -2x2y = -1 + -1xy2 -2x2y = -1 + -1xy2 Add '2x2y' to each side of the equation. -2x2y + 2x2y = -1 + -1xy2 + 2x2y Combine like terms: -2x2y + 2x2y = 0 0 = -1 + -1xy2 + 2x2y Simplifying 0 = -1 + -1xy2 + 2x2y 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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