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Simplifying (20y + 5xy2) * dx + (15x + 4x2y) * dy = 0 Reorder the terms: (5xy2 + 20y) * dx + (15x + 4x2y) * dy = 0 Reorder the terms for easier multiplication: dx(5xy2 + 20y) + (15x + 4x2y) * dy = 0 (5xy2 * dx + 20y * dx) + (15x + 4x2y) * dy = 0 Reorder the terms: (20dxy + 5dx2y2) + (15x + 4x2y) * dy = 0 (20dxy + 5dx2y2) + (15x + 4x2y) * dy = 0 Reorder the terms for easier multiplication: 20dxy + 5dx2y2 + dy(15x + 4x2y) = 0 20dxy + 5dx2y2 + (15x * dy + 4x2y * dy) = 0 20dxy + 5dx2y2 + (15dxy + 4dx2y2) = 0 Reorder the terms: 20dxy + 15dxy + 5dx2y2 + 4dx2y2 = 0 Combine like terms: 20dxy + 15dxy = 35dxy 35dxy + 5dx2y2 + 4dx2y2 = 0 Combine like terms: 5dx2y2 + 4dx2y2 = 9dx2y2 35dxy + 9dx2y2 = 0 Solving 35dxy + 9dx2y2 = 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(35 + 9xy) = 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 '(35 + 9xy)' equal to zero and attempt to solve: Simplifying 35 + 9xy = 0 Solving 35 + 9xy = 0 Move all terms containing d to the left, all other terms to the right. Add '-35' to each side of the equation. 35 + -35 + 9xy = 0 + -35 Combine like terms: 35 + -35 = 0 0 + 9xy = 0 + -35 9xy = 0 + -35 Combine like terms: 0 + -35 = -35 9xy = -35 Add '-9xy' to each side of the equation. 9xy + -9xy = -35 + -9xy Combine like terms: 9xy + -9xy = 0 0 = -35 + -9xy Simplifying 0 = -35 + -9xy 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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