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Simplifying (3xy + x + y) * ydx + (4xy + x + 2y) * xdy = 0 Reorder the terms: (x + 3xy + y) * ydx + (4xy + x + 2y) * xdy = 0 Reorder the terms for easier multiplication: dxy(x + 3xy + y) + (4xy + x + 2y) * xdy = 0 (x * dxy + 3xy * dxy + y * dxy) + (4xy + x + 2y) * xdy = 0 Reorder the terms: (dxy2 + dx2y + 3dx2y2) + (4xy + x + 2y) * xdy = 0 (dxy2 + dx2y + 3dx2y2) + (4xy + x + 2y) * xdy = 0 Reorder the terms: dxy2 + dx2y + 3dx2y2 + (x + 4xy + 2y) * xdy = 0 Reorder the terms for easier multiplication: dxy2 + dx2y + 3dx2y2 + dxy(x + 4xy + 2y) = 0 dxy2 + dx2y + 3dx2y2 + (x * dxy + 4xy * dxy + 2y * dxy) = 0 Reorder the terms: dxy2 + dx2y + 3dx2y2 + (2dxy2 + dx2y + 4dx2y2) = 0 dxy2 + dx2y + 3dx2y2 + (2dxy2 + dx2y + 4dx2y2) = 0 Reorder the terms: dxy2 + 2dxy2 + dx2y + dx2y + 3dx2y2 + 4dx2y2 = 0 Combine like terms: dxy2 + 2dxy2 = 3dxy2 3dxy2 + dx2y + dx2y + 3dx2y2 + 4dx2y2 = 0 Combine like terms: dx2y + dx2y = 2dx2y 3dxy2 + 2dx2y + 3dx2y2 + 4dx2y2 = 0 Combine like terms: 3dx2y2 + 4dx2y2 = 7dx2y2 3dxy2 + 2dx2y + 7dx2y2 = 0 Solving 3dxy2 + 2dx2y + 7dx2y2 = 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(3y + 2x + 7xy) = 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 '(3y + 2x + 7xy)' equal to zero and attempt to solve: Simplifying 3y + 2x + 7xy = 0 Reorder the terms: 2x + 7xy + 3y = 0 Solving 2x + 7xy + 3y = 0 Move all terms containing d to the left, all other terms to the right. Add '-2x' to each side of the equation. 2x + 7xy + -2x + 3y = 0 + -2x Reorder the terms: 2x + -2x + 7xy + 3y = 0 + -2x Combine like terms: 2x + -2x = 0 0 + 7xy + 3y = 0 + -2x 7xy + 3y = 0 + -2x Remove the zero: 7xy + 3y = -2x Add '-7xy' to each side of the equation. 7xy + -7xy + 3y = -2x + -7xy Combine like terms: 7xy + -7xy = 0 0 + 3y = -2x + -7xy 3y = -2x + -7xy Add '-3y' to each side of the equation. 3y + -3y = -2x + -7xy + -3y Combine like terms: 3y + -3y = 0 0 = -2x + -7xy + -3y Simplifying 0 = -2x + -7xy + -3y 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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