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Simplifying y(2x + -1y + 1) * dx + x(3x + -4y + 3) * dy = 0 Reorder the terms: y(1 + 2x + -1y) * dx + x(3x + -4y + 3) * dy = 0 Reorder the terms for easier multiplication: y * dx(1 + 2x + -1y) + x(3x + -4y + 3) * dy = 0 Multiply y * dx dxy(1 + 2x + -1y) + x(3x + -4y + 3) * dy = 0 (1 * dxy + 2x * dxy + -1y * dxy) + x(3x + -4y + 3) * dy = 0 Reorder the terms: (1dxy + -1dxy2 + 2dx2y) + x(3x + -4y + 3) * dy = 0 (1dxy + -1dxy2 + 2dx2y) + x(3x + -4y + 3) * dy = 0 Reorder the terms: 1dxy + -1dxy2 + 2dx2y + x(3 + 3x + -4y) * dy = 0 Reorder the terms for easier multiplication: 1dxy + -1dxy2 + 2dx2y + x * dy(3 + 3x + -4y) = 0 Multiply x * dy 1dxy + -1dxy2 + 2dx2y + dxy(3 + 3x + -4y) = 0 1dxy + -1dxy2 + 2dx2y + (3 * dxy + 3x * dxy + -4y * dxy) = 0 Reorder the terms: 1dxy + -1dxy2 + 2dx2y + (3dxy + -4dxy2 + 3dx2y) = 0 1dxy + -1dxy2 + 2dx2y + (3dxy + -4dxy2 + 3dx2y) = 0 Reorder the terms: 1dxy + 3dxy + -1dxy2 + -4dxy2 + 2dx2y + 3dx2y = 0 Combine like terms: 1dxy + 3dxy = 4dxy 4dxy + -1dxy2 + -4dxy2 + 2dx2y + 3dx2y = 0 Combine like terms: -1dxy2 + -4dxy2 = -5dxy2 4dxy + -5dxy2 + 2dx2y + 3dx2y = 0 Combine like terms: 2dx2y + 3dx2y = 5dx2y 4dxy + -5dxy2 + 5dx2y = 0 Solving 4dxy + -5dxy2 + 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(4 + -5y + 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 '(4 + -5y + 5x)' equal to zero and attempt to solve: Simplifying 4 + -5y + 5x = 0 Reorder the terms: 4 + 5x + -5y = 0 Solving 4 + 5x + -5y = 0 Move all terms containing d to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + 5x + -4 + -5y = 0 + -4 Reorder the terms: 4 + -4 + 5x + -5y = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 5x + -5y = 0 + -4 5x + -5y = 0 + -4 Combine like terms: 0 + -4 = -4 5x + -5y = -4 Add '-5x' to each side of the equation. 5x + -5x + -5y = -4 + -5x Combine like terms: 5x + -5x = 0 0 + -5y = -4 + -5x -5y = -4 + -5x Add '5y' to each side of the equation. -5y + 5y = -4 + -5x + 5y Combine like terms: -5y + 5y = 0 0 = -4 + -5x + 5y Simplifying 0 = -4 + -5x + 5y 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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