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Simplifying xdy + ydx + xy(3dx + dy) = 0 dxy + dxy + (3dx * xy + dy * xy) = 0 Reorder the terms: dxy + dxy + (dxy2 + 3dx2y) = 0 dxy + dxy + (dxy2 + 3dx2y) = 0 Combine like terms: dxy + dxy = 2dxy 2dxy + dxy2 + 3dx2y = 0 Solving 2dxy + dxy2 + 3dx2y = 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), 'dxy'. dxy(2 + y + 3x) = 0Subproblem 1
Set the factor 'dxy' equal to zero and attempt to solve: Simplifying dxy = 0 Solving dxy = 0 Move all terms containing d to the left, all other terms to the right. Simplifying dxy = 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 '(2 + y + 3x)' equal to zero and attempt to solve: Simplifying 2 + y + 3x = 0 Reorder the terms: 2 + 3x + y = 0 Solving 2 + 3x + y = 0 Move all terms containing d to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + 3x + -2 + y = 0 + -2 Reorder the terms: 2 + -2 + 3x + y = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 3x + y = 0 + -2 3x + y = 0 + -2 Combine like terms: 0 + -2 = -2 3x + y = -2 Add '-3x' to each side of the equation. 3x + -3x + y = -2 + -3x Combine like terms: 3x + -3x = 0 0 + y = -2 + -3x y = -2 + -3x Add '-1y' to each side of the equation. y + -1y = -2 + -3x + -1y Combine like terms: y + -1y = 0 0 = -2 + -3x + -1y Simplifying 0 = -2 + -3x + -1y 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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