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Simplifying y2dx + (2xy + -5x3) * dy = 0 Reorder the terms for easier multiplication: dxy2 + dy(2xy + -5x3) = 0 dxy2 + (2xy * dy + -5x3 * dy) = 0 dxy2 + (2dxy2 + -5dx3y) = 0 Combine like terms: dxy2 + 2dxy2 = 3dxy2 3dxy2 + -5dx3y = 0 Solving 3dxy2 + -5dx3y = 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 + -5x2) = 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 + -5x2)' equal to zero and attempt to solve: Simplifying 3y + -5x2 = 0 Reorder the terms: -5x2 + 3y = 0 Solving -5x2 + 3y = 0 Move all terms containing d to the left, all other terms to the right. Add '5x2' to each side of the equation. -5x2 + 5x2 + 3y = 0 + 5x2 Combine like terms: -5x2 + 5x2 = 0 0 + 3y = 0 + 5x2 3y = 0 + 5x2 Remove the zero: 3y = 5x2 Add '-3y' to each side of the equation. 3y + -3y = 5x2 + -3y Combine like terms: 3y + -3y = 0 0 = 5x2 + -3y Simplifying 0 = 5x2 + -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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