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Simplifying y2(y2 + 4) * dx + 2xy(y2 + 4) * dy + -2dy = 0 Reorder the terms: y2(4 + y2) * dx + 2xy(y2 + 4) * dy + -2dy = 0 Reorder the terms for easier multiplication: y2 * dx(4 + y2) + 2xy(y2 + 4) * dy + -2dy = 0 Multiply y2 * dx dxy2(4 + y2) + 2xy(y2 + 4) * dy + -2dy = 0 (4 * dxy2 + y2 * dxy2) + 2xy(y2 + 4) * dy + -2dy = 0 (4dxy2 + dxy4) + 2xy(y2 + 4) * dy + -2dy = 0 Reorder the terms: 4dxy2 + dxy4 + 2xy(4 + y2) * dy + -2dy = 0 Reorder the terms for easier multiplication: 4dxy2 + dxy4 + 2xy * dy(4 + y2) + -2dy = 0 Multiply xy * dy 4dxy2 + dxy4 + 2dxy2(4 + y2) + -2dy = 0 4dxy2 + dxy4 + (4 * 2dxy2 + y2 * 2dxy2) + -2dy = 0 4dxy2 + dxy4 + (8dxy2 + 2dxy4) + -2dy = 0 Reorder the terms: 4dxy2 + 8dxy2 + dxy4 + 2dxy4 + -2dy = 0 Combine like terms: 4dxy2 + 8dxy2 = 12dxy2 12dxy2 + dxy4 + 2dxy4 + -2dy = 0 Combine like terms: dxy4 + 2dxy4 = 3dxy4 12dxy2 + 3dxy4 + -2dy = 0 Solving 12dxy2 + 3dxy4 + -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(12xy + 3xy3 + -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 '(12xy + 3xy3 + -2)' equal to zero and attempt to solve: Simplifying 12xy + 3xy3 + -2 = 0 Reorder the terms: -2 + 12xy + 3xy3 = 0 Solving -2 + 12xy + 3xy3 = 0 Move all terms containing d to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 12xy + 2 + 3xy3 = 0 + 2 Reorder the terms: -2 + 2 + 12xy + 3xy3 = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 12xy + 3xy3 = 0 + 2 12xy + 3xy3 = 0 + 2 Combine like terms: 0 + 2 = 2 12xy + 3xy3 = 2 Add '-12xy' to each side of the equation. 12xy + -12xy + 3xy3 = 2 + -12xy Combine like terms: 12xy + -12xy = 0 0 + 3xy3 = 2 + -12xy 3xy3 = 2 + -12xy Add '-3xy3' to each side of the equation. 3xy3 + -3xy3 = 2 + -12xy + -3xy3 Combine like terms: 3xy3 + -3xy3 = 0 0 = 2 + -12xy + -3xy3 Simplifying 0 = 2 + -12xy + -3xy3 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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