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Simplifying (3xy + 2y3) * dx + (3x2 + 5xy2) * dy = 0 Reorder the terms for easier multiplication: dx(3xy + 2y3) + (3x2 + 5xy2) * dy = 0 (3xy * dx + 2y3 * dx) + (3x2 + 5xy2) * dy = 0 Reorder the terms: (2dxy3 + 3dx2y) + (3x2 + 5xy2) * dy = 0 (2dxy3 + 3dx2y) + (3x2 + 5xy2) * dy = 0 Reorder the terms: 2dxy3 + 3dx2y + (5xy2 + 3x2) * dy = 0 Reorder the terms for easier multiplication: 2dxy3 + 3dx2y + dy(5xy2 + 3x2) = 0 2dxy3 + 3dx2y + (5xy2 * dy + 3x2 * dy) = 0 2dxy3 + 3dx2y + (5dxy3 + 3dx2y) = 0 Reorder the terms: 2dxy3 + 5dxy3 + 3dx2y + 3dx2y = 0 Combine like terms: 2dxy3 + 5dxy3 = 7dxy3 7dxy3 + 3dx2y + 3dx2y = 0 Combine like terms: 3dx2y + 3dx2y = 6dx2y 7dxy3 + 6dx2y = 0 Solving 7dxy3 + 6dx2y = 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(7y2 + 6x) = 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 '(7y2 + 6x)' equal to zero and attempt to solve: Simplifying 7y2 + 6x = 0 Reorder the terms: 6x + 7y2 = 0 Solving 6x + 7y2 = 0 Move all terms containing d to the left, all other terms to the right. Add '-6x' to each side of the equation. 6x + -6x + 7y2 = 0 + -6x Combine like terms: 6x + -6x = 0 0 + 7y2 = 0 + -6x 7y2 = 0 + -6x Remove the zero: 7y2 = -6x Add '-7y2' to each side of the equation. 7y2 + -7y2 = -6x + -7y2 Combine like terms: 7y2 + -7y2 = 0 0 = -6x + -7y2 Simplifying 0 = -6x + -7y2 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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