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Simplifying (3x2y3 + y4) * dx + (3x3y2 + y4 + 4xy3) * dy = 0 Reorder the terms for easier multiplication: dx(3x2y3 + y4) + (3x3y2 + y4 + 4xy3) * dy = 0 (3x2y3 * dx + y4 * dx) + (3x3y2 + y4 + 4xy3) * dy = 0 Reorder the terms: (dxy4 + 3dx3y3) + (3x3y2 + y4 + 4xy3) * dy = 0 (dxy4 + 3dx3y3) + (3x3y2 + y4 + 4xy3) * dy = 0 Reorder the terms: dxy4 + 3dx3y3 + (4xy3 + 3x3y2 + y4) * dy = 0 Reorder the terms for easier multiplication: dxy4 + 3dx3y3 + dy(4xy3 + 3x3y2 + y4) = 0 dxy4 + 3dx3y3 + (4xy3 * dy + 3x3y2 * dy + y4 * dy) = 0 dxy4 + 3dx3y3 + (4dxy4 + 3dx3y3 + dy5) = 0 Reorder the terms: dxy4 + 4dxy4 + 3dx3y3 + 3dx3y3 + dy5 = 0 Combine like terms: dxy4 + 4dxy4 = 5dxy4 5dxy4 + 3dx3y3 + 3dx3y3 + dy5 = 0 Combine like terms: 3dx3y3 + 3dx3y3 = 6dx3y3 5dxy4 + 6dx3y3 + dy5 = 0 Solving 5dxy4 + 6dx3y3 + dy5 = 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), 'dy3'. dy3(5xy + 6x3 + y2) = 0Subproblem 1
Set the factor 'dy3' equal to zero and attempt to solve: Simplifying dy3 = 0 Solving dy3 = 0 Move all terms containing d to the left, all other terms to the right. Simplifying dy3 = 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 '(5xy + 6x3 + y2)' equal to zero and attempt to solve: Simplifying 5xy + 6x3 + y2 = 0 Solving 5xy + 6x3 + y2 = 0 Move all terms containing d to the left, all other terms to the right. Add '-5xy' to each side of the equation. 5xy + 6x3 + -5xy + y2 = 0 + -5xy Reorder the terms: 5xy + -5xy + 6x3 + y2 = 0 + -5xy Combine like terms: 5xy + -5xy = 0 0 + 6x3 + y2 = 0 + -5xy 6x3 + y2 = 0 + -5xy Remove the zero: 6x3 + y2 = -5xy Add '-6x3' to each side of the equation. 6x3 + -6x3 + y2 = -5xy + -6x3 Combine like terms: 6x3 + -6x3 = 0 0 + y2 = -5xy + -6x3 y2 = -5xy + -6x3 Add '-1y2' to each side of the equation. y2 + -1y2 = -5xy + -6x3 + -1y2 Combine like terms: y2 + -1y2 = 0 0 = -5xy + -6x3 + -1y2 Simplifying 0 = -5xy + -6x3 + -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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