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Simplifying (2y + 6xy2) * dx + (3x + 8x2y) * dy = 0 Reorder the terms: (6xy2 + 2y) * dx + (3x + 8x2y) * dy = 0 Reorder the terms for easier multiplication: dx(6xy2 + 2y) + (3x + 8x2y) * dy = 0 (6xy2 * dx + 2y * dx) + (3x + 8x2y) * dy = 0 Reorder the terms: (2dxy + 6dx2y2) + (3x + 8x2y) * dy = 0 (2dxy + 6dx2y2) + (3x + 8x2y) * dy = 0 Reorder the terms for easier multiplication: 2dxy + 6dx2y2 + dy(3x + 8x2y) = 0 2dxy + 6dx2y2 + (3x * dy + 8x2y * dy) = 0 2dxy + 6dx2y2 + (3dxy + 8dx2y2) = 0 Reorder the terms: 2dxy + 3dxy + 6dx2y2 + 8dx2y2 = 0 Combine like terms: 2dxy + 3dxy = 5dxy 5dxy + 6dx2y2 + 8dx2y2 = 0 Combine like terms: 6dx2y2 + 8dx2y2 = 14dx2y2 5dxy + 14dx2y2 = 0 Solving 5dxy + 14dx2y2 = 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(5 + 14xy) = 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 '(5 + 14xy)' equal to zero and attempt to solve: Simplifying 5 + 14xy = 0 Solving 5 + 14xy = 0 Move all terms containing d to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 14xy = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 14xy = 0 + -5 14xy = 0 + -5 Combine like terms: 0 + -5 = -5 14xy = -5 Add '-14xy' to each side of the equation. 14xy + -14xy = -5 + -14xy Combine like terms: 14xy + -14xy = 0 0 = -5 + -14xy Simplifying 0 = -5 + -14xy 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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