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Simplifying (4 + -5x) * ydx + (4 + -3y) * xdy = 0 Reorder the terms for easier multiplication: dxy(4 + -5x) + (4 + -3y) * xdy = 0 (4 * dxy + -5x * dxy) + (4 + -3y) * xdy = 0 (4dxy + -5dx2y) + (4 + -3y) * xdy = 0 Reorder the terms for easier multiplication: 4dxy + -5dx2y + dxy(4 + -3y) = 0 4dxy + -5dx2y + (4 * dxy + -3y * dxy) = 0 4dxy + -5dx2y + (4dxy + -3dxy2) = 0 Reorder the terms: 4dxy + 4dxy + -3dxy2 + -5dx2y = 0 Combine like terms: 4dxy + 4dxy = 8dxy 8dxy + -3dxy2 + -5dx2y = 0 Solving 8dxy + -3dxy2 + -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(8 + -3y + -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 '(8 + -3y + -5x)' equal to zero and attempt to solve: Simplifying 8 + -3y + -5x = 0 Reorder the terms: 8 + -5x + -3y = 0 Solving 8 + -5x + -3y = 0 Move all terms containing d to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -5x + -8 + -3y = 0 + -8 Reorder the terms: 8 + -8 + -5x + -3y = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -5x + -3y = 0 + -8 -5x + -3y = 0 + -8 Combine like terms: 0 + -8 = -8 -5x + -3y = -8 Add '5x' to each side of the equation. -5x + 5x + -3y = -8 + 5x Combine like terms: -5x + 5x = 0 0 + -3y = -8 + 5x -3y = -8 + 5x Add '3y' to each side of the equation. -3y + 3y = -8 + 5x + 3y Combine like terms: -3y + 3y = 0 0 = -8 + 5x + 3y Simplifying 0 = -8 + 5x + 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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