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Simplifying (2y2 + -9xy) * dx + (3xy + -6x2) * dy = 0 Reorder the terms: (-9xy + 2y2) * dx + (3xy + -6x2) * dy = 0 Reorder the terms for easier multiplication: dx(-9xy + 2y2) + (3xy + -6x2) * dy = 0 (-9xy * dx + 2y2 * dx) + (3xy + -6x2) * dy = 0 Reorder the terms: (2dxy2 + -9dx2y) + (3xy + -6x2) * dy = 0 (2dxy2 + -9dx2y) + (3xy + -6x2) * dy = 0 Reorder the terms for easier multiplication: 2dxy2 + -9dx2y + dy(3xy + -6x2) = 0 2dxy2 + -9dx2y + (3xy * dy + -6x2 * dy) = 0 2dxy2 + -9dx2y + (3dxy2 + -6dx2y) = 0 Reorder the terms: 2dxy2 + 3dxy2 + -9dx2y + -6dx2y = 0 Combine like terms: 2dxy2 + 3dxy2 = 5dxy2 5dxy2 + -9dx2y + -6dx2y = 0 Combine like terms: -9dx2y + -6dx2y = -15dx2y 5dxy2 + -15dx2y = 0 Solving 5dxy2 + -15dx2y = 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), '5dxy'. 5dxy(y + -3x) = 0 Ignore the factor 5.Subproblem 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 '(y + -3x)' equal to zero and attempt to solve: Simplifying y + -3x = 0 Reorder the terms: -3x + y = 0 Solving -3x + y = 0 Move all terms containing d to the left, all other terms to the right. Add '3x' to each side of the equation. -3x + 3x + y = 0 + 3x Combine like terms: -3x + 3x = 0 0 + y = 0 + 3x y = 0 + 3x Remove the zero: y = 3x Add '-1y' to each side of the equation. y + -1y = 3x + -1y Combine like terms: y + -1y = 0 0 = 3x + -1y Simplifying 0 = 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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