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Simplifying y2dx + (3xy + y2 + -1) * dy = 0 Reorder the terms: dxy2 + (-1 + 3xy + y2) * dy = 0 Reorder the terms for easier multiplication: dxy2 + dy(-1 + 3xy + y2) = 0 dxy2 + (-1 * dy + 3xy * dy + y2 * dy) = 0 Reorder the terms: dxy2 + (3dxy2 + -1dy + dy3) = 0 dxy2 + (3dxy2 + -1dy + dy3) = 0 Combine like terms: dxy2 + 3dxy2 = 4dxy2 4dxy2 + -1dy + dy3 = 0 Solving 4dxy2 + -1dy + dy3 = 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(4xy + -1 + y2) = 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 '(4xy + -1 + y2)' equal to zero and attempt to solve: Simplifying 4xy + -1 + y2 = 0 Reorder the terms: -1 + 4xy + y2 = 0 Solving -1 + 4xy + y2 = 0 Move all terms containing d to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 4xy + 1 + y2 = 0 + 1 Reorder the terms: -1 + 1 + 4xy + y2 = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 4xy + y2 = 0 + 1 4xy + y2 = 0 + 1 Combine like terms: 0 + 1 = 1 4xy + y2 = 1 Add '-4xy' to each side of the equation. 4xy + -4xy + y2 = 1 + -4xy Combine like terms: 4xy + -4xy = 0 0 + y2 = 1 + -4xy y2 = 1 + -4xy Add '-1y2' to each side of the equation. y2 + -1y2 = 1 + -4xy + -1y2 Combine like terms: y2 + -1y2 = 0 0 = 1 + -4xy + -1y2 Simplifying 0 = 1 + -4xy + -1y2 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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