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Simplifying (3y2 + 10xy2) * dx + (6xy + -2 + 10x2y) * dy = 0 Reorder the terms: (10xy2 + 3y2) * dx + (6xy + -2 + 10x2y) * dy = 0 Reorder the terms for easier multiplication: dx(10xy2 + 3y2) + (6xy + -2 + 10x2y) * dy = 0 (10xy2 * dx + 3y2 * dx) + (6xy + -2 + 10x2y) * dy = 0 Reorder the terms: (3dxy2 + 10dx2y2) + (6xy + -2 + 10x2y) * dy = 0 (3dxy2 + 10dx2y2) + (6xy + -2 + 10x2y) * dy = 0 Reorder the terms: 3dxy2 + 10dx2y2 + (-2 + 6xy + 10x2y) * dy = 0 Reorder the terms for easier multiplication: 3dxy2 + 10dx2y2 + dy(-2 + 6xy + 10x2y) = 0 3dxy2 + 10dx2y2 + (-2 * dy + 6xy * dy + 10x2y * dy) = 0 Reorder the terms: 3dxy2 + 10dx2y2 + (6dxy2 + 10dx2y2 + -2dy) = 0 3dxy2 + 10dx2y2 + (6dxy2 + 10dx2y2 + -2dy) = 0 Reorder the terms: 3dxy2 + 6dxy2 + 10dx2y2 + 10dx2y2 + -2dy = 0 Combine like terms: 3dxy2 + 6dxy2 = 9dxy2 9dxy2 + 10dx2y2 + 10dx2y2 + -2dy = 0 Combine like terms: 10dx2y2 + 10dx2y2 = 20dx2y2 9dxy2 + 20dx2y2 + -2dy = 0 Solving 9dxy2 + 20dx2y2 + -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(9xy + 20x2y + -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 '(9xy + 20x2y + -2)' equal to zero and attempt to solve: Simplifying 9xy + 20x2y + -2 = 0 Reorder the terms: -2 + 9xy + 20x2y = 0 Solving -2 + 9xy + 20x2y = 0 Move all terms containing d to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 9xy + 2 + 20x2y = 0 + 2 Reorder the terms: -2 + 2 + 9xy + 20x2y = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 9xy + 20x2y = 0 + 2 9xy + 20x2y = 0 + 2 Combine like terms: 0 + 2 = 2 9xy + 20x2y = 2 Add '-9xy' to each side of the equation. 9xy + -9xy + 20x2y = 2 + -9xy Combine like terms: 9xy + -9xy = 0 0 + 20x2y = 2 + -9xy 20x2y = 2 + -9xy Add '-20x2y' to each side of the equation. 20x2y + -20x2y = 2 + -9xy + -20x2y Combine like terms: 20x2y + -20x2y = 0 0 = 2 + -9xy + -20x2y Simplifying 0 = 2 + -9xy + -20x2y 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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