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Simplifying (3xy + 3y4) * dx + (2x2 + 5xy3) * dy = 0 Reorder the terms for easier multiplication: dx(3xy + 3y4) + (2x2 + 5xy3) * dy = 0 (3xy * dx + 3y4 * dx) + (2x2 + 5xy3) * dy = 0 Reorder the terms: (3dxy4 + 3dx2y) + (2x2 + 5xy3) * dy = 0 (3dxy4 + 3dx2y) + (2x2 + 5xy3) * dy = 0 Reorder the terms: 3dxy4 + 3dx2y + (5xy3 + 2x2) * dy = 0 Reorder the terms for easier multiplication: 3dxy4 + 3dx2y + dy(5xy3 + 2x2) = 0 3dxy4 + 3dx2y + (5xy3 * dy + 2x2 * dy) = 0 3dxy4 + 3dx2y + (5dxy4 + 2dx2y) = 0 Reorder the terms: 3dxy4 + 5dxy4 + 3dx2y + 2dx2y = 0 Combine like terms: 3dxy4 + 5dxy4 = 8dxy4 8dxy4 + 3dx2y + 2dx2y = 0 Combine like terms: 3dx2y + 2dx2y = 5dx2y 8dxy4 + 5dx2y = 0 Solving 8dxy4 + 5dx2y = 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), 'dxy'. dxy(8y3 + 5x) = 0Subproblem 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 '(8y3 + 5x)' equal to zero and attempt to solve: Simplifying 8y3 + 5x = 0 Reorder the terms: 5x + 8y3 = 0 Solving 5x + 8y3 = 0 Move all terms containing d to the left, all other terms to the right. Add '-5x' to each side of the equation. 5x + -5x + 8y3 = 0 + -5x Combine like terms: 5x + -5x = 0 0 + 8y3 = 0 + -5x 8y3 = 0 + -5x Remove the zero: 8y3 = -5x Add '-8y3' to each side of the equation. 8y3 + -8y3 = -5x + -8y3 Combine like terms: 8y3 + -8y3 = 0 0 = -5x + -8y3 Simplifying 0 = -5x + -8y3 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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