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Simplifying (x2 + y2 + 1) * dx + x(x + -2y) * dy = 0 Reorder the terms: (1 + x2 + y2) * dx + x(x + -2y) * dy = 0 Reorder the terms for easier multiplication: dx(1 + x2 + y2) + x(x + -2y) * dy = 0 (1 * dx + x2 * dx + y2 * dx) + x(x + -2y) * dy = 0 Reorder the terms: (1dx + dxy2 + dx3) + x(x + -2y) * dy = 0 (1dx + dxy2 + dx3) + x(x + -2y) * dy = 0 Reorder the terms for easier multiplication: 1dx + dxy2 + dx3 + x * dy(x + -2y) = 0 Multiply x * dy 1dx + dxy2 + dx3 + dxy(x + -2y) = 0 1dx + dxy2 + dx3 + (x * dxy + -2y * dxy) = 0 Reorder the terms: 1dx + dxy2 + dx3 + (-2dxy2 + dx2y) = 0 1dx + dxy2 + dx3 + (-2dxy2 + dx2y) = 0 Reorder the terms: 1dx + dxy2 + -2dxy2 + dx2y + dx3 = 0 Combine like terms: dxy2 + -2dxy2 = -1dxy2 1dx + -1dxy2 + dx2y + dx3 = 0 Solving 1dx + -1dxy2 + dx2y + dx3 = 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 + -1y2 + xy + x2) = 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 + -1y2 + xy + x2)' equal to zero and attempt to solve: Simplifying 1 + -1y2 + xy + x2 = 0 Reorder the terms: 1 + xy + x2 + -1y2 = 0 Solving 1 + xy + x2 + -1y2 = 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 + x2 + -1 + -1y2 = 0 + -1 Reorder the terms: 1 + -1 + xy + x2 + -1y2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + xy + x2 + -1y2 = 0 + -1 xy + x2 + -1y2 = 0 + -1 Combine like terms: 0 + -1 = -1 xy + x2 + -1y2 = -1 Add '-1xy' to each side of the equation. xy + x2 + -1xy + -1y2 = -1 + -1xy Reorder the terms: xy + -1xy + x2 + -1y2 = -1 + -1xy Combine like terms: xy + -1xy = 0 0 + x2 + -1y2 = -1 + -1xy x2 + -1y2 = -1 + -1xy Add '-1x2' to each side of the equation. x2 + -1x2 + -1y2 = -1 + -1xy + -1x2 Combine like terms: x2 + -1x2 = 0 0 + -1y2 = -1 + -1xy + -1x2 -1y2 = -1 + -1xy + -1x2 Add 'y2' to each side of the equation. -1y2 + y2 = -1 + -1xy + -1x2 + y2 Combine like terms: -1y2 + y2 = 0 0 = -1 + -1xy + -1x2 + y2 Simplifying 0 = -1 + -1xy + -1x2 + y2 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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