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Simplifying ydx + (2x + 1 + -1xy) * dy = 0 Reorder the terms: dxy + (1 + 2x + -1xy) * dy = 0 Reorder the terms for easier multiplication: dxy + dy(1 + 2x + -1xy) = 0 dxy + (1 * dy + 2x * dy + -1xy * dy) = 0 Reorder the terms: dxy + (2dxy + -1dxy2 + 1dy) = 0 dxy + (2dxy + -1dxy2 + 1dy) = 0 Combine like terms: dxy + 2dxy = 3dxy 3dxy + -1dxy2 + 1dy = 0 Solving 3dxy + -1dxy2 + 1dy = 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), 'dy'. dy(3x + -1xy + 1) = 0Subproblem 1
Set the factor 'dy' equal to zero and attempt to solve: Simplifying dy = 0 Solving dy = 0 Move all terms containing d to the left, all other terms to the right. Simplifying dy = 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 '(3x + -1xy + 1)' equal to zero and attempt to solve: Simplifying 3x + -1xy + 1 = 0 Reorder the terms: 1 + 3x + -1xy = 0 Solving 1 + 3x + -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 + 3x + -1 + -1xy = 0 + -1 Reorder the terms: 1 + -1 + 3x + -1xy = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 3x + -1xy = 0 + -1 3x + -1xy = 0 + -1 Combine like terms: 0 + -1 = -1 3x + -1xy = -1 Add '-3x' to each side of the equation. 3x + -3x + -1xy = -1 + -3x Combine like terms: 3x + -3x = 0 0 + -1xy = -1 + -3x -1xy = -1 + -3x Add 'xy' to each side of the equation. -1xy + xy = -1 + -3x + xy Combine like terms: -1xy + xy = 0 0 = -1 + -3x + xy Simplifying 0 = -1 + -3x + 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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