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Simplifying ydx + (3x + -1xy + 2) * dy = 0 Reorder the terms: dxy + (2 + 3x + -1xy) * dy = 0 Reorder the terms for easier multiplication: dxy + dy(2 + 3x + -1xy) = 0 dxy + (2 * dy + 3x * dy + -1xy * dy) = 0 Reorder the terms: dxy + (3dxy + -1dxy2 + 2dy) = 0 dxy + (3dxy + -1dxy2 + 2dy) = 0 Combine like terms: dxy + 3dxy = 4dxy 4dxy + -1dxy2 + 2dy = 0 Solving 4dxy + -1dxy2 + 2dy = 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(4x + -1xy + 2) = 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 '(4x + -1xy + 2)' equal to zero and attempt to solve: Simplifying 4x + -1xy + 2 = 0 Reorder the terms: 2 + 4x + -1xy = 0 Solving 2 + 4x + -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 + 4x + -2 + -1xy = 0 + -2 Reorder the terms: 2 + -2 + 4x + -1xy = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 4x + -1xy = 0 + -2 4x + -1xy = 0 + -2 Combine like terms: 0 + -2 = -2 4x + -1xy = -2 Add '-4x' to each side of the equation. 4x + -4x + -1xy = -2 + -4x Combine like terms: 4x + -4x = 0 0 + -1xy = -2 + -4x -1xy = -2 + -4x Add 'xy' to each side of the equation. -1xy + xy = -2 + -4x + xy Combine like terms: -1xy + xy = 0 0 = -2 + -4x + xy Simplifying 0 = -2 + -4x + 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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