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Simplifying (3x + 2y2) * ydx + 2(2x + 3y2) * xdy = 0 Reorder the terms for easier multiplication: dxy(3x + 2y2) + 2(2x + 3y2) * xdy = 0 (3x * dxy + 2y2 * dxy) + 2(2x + 3y2) * xdy = 0 Reorder the terms: (2dxy3 + 3dx2y) + 2(2x + 3y2) * xdy = 0 (2dxy3 + 3dx2y) + 2(2x + 3y2) * xdy = 0 Reorder the terms for easier multiplication: 2dxy3 + 3dx2y + 2dxy(2x + 3y2) = 0 2dxy3 + 3dx2y + (2x * 2dxy + 3y2 * 2dxy) = 0 Reorder the terms: 2dxy3 + 3dx2y + (6dxy3 + 4dx2y) = 0 2dxy3 + 3dx2y + (6dxy3 + 4dx2y) = 0 Reorder the terms: 2dxy3 + 6dxy3 + 3dx2y + 4dx2y = 0 Combine like terms: 2dxy3 + 6dxy3 = 8dxy3 8dxy3 + 3dx2y + 4dx2y = 0 Combine like terms: 3dx2y + 4dx2y = 7dx2y 8dxy3 + 7dx2y = 0 Solving 8dxy3 + 7dx2y = 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(8y2 + 7x) = 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 '(8y2 + 7x)' equal to zero and attempt to solve: Simplifying 8y2 + 7x = 0 Reorder the terms: 7x + 8y2 = 0 Solving 7x + 8y2 = 0 Move all terms containing d to the left, all other terms to the right. Add '-7x' to each side of the equation. 7x + -7x + 8y2 = 0 + -7x Combine like terms: 7x + -7x = 0 0 + 8y2 = 0 + -7x 8y2 = 0 + -7x Remove the zero: 8y2 = -7x Add '-8y2' to each side of the equation. 8y2 + -8y2 = -7x + -8y2 Combine like terms: 8y2 + -8y2 = 0 0 = -7x + -8y2 Simplifying 0 = -7x + -8y2 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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