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Simplifying (4x2y + -3y2) * dx + (x3 + -3xy) * dy = 0 Reorder the terms for easier multiplication: dx(4x2y + -3y2) + (x3 + -3xy) * dy = 0 (4x2y * dx + -3y2 * dx) + (x3 + -3xy) * dy = 0 Reorder the terms: (-3dxy2 + 4dx3y) + (x3 + -3xy) * dy = 0 (-3dxy2 + 4dx3y) + (x3 + -3xy) * dy = 0 Reorder the terms: -3dxy2 + 4dx3y + (-3xy + x3) * dy = 0 Reorder the terms for easier multiplication: -3dxy2 + 4dx3y + dy(-3xy + x3) = 0 -3dxy2 + 4dx3y + (-3xy * dy + x3 * dy) = 0 -3dxy2 + 4dx3y + (-3dxy2 + dx3y) = 0 Reorder the terms: -3dxy2 + -3dxy2 + 4dx3y + dx3y = 0 Combine like terms: -3dxy2 + -3dxy2 = -6dxy2 -6dxy2 + 4dx3y + dx3y = 0 Combine like terms: 4dx3y + dx3y = 5dx3y -6dxy2 + 5dx3y = 0 Solving -6dxy2 + 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(-6y + 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 '(-6y + 5x2)' equal to zero and attempt to solve: Simplifying -6y + 5x2 = 0 Reorder the terms: 5x2 + -6y = 0 Solving 5x2 + -6y = 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 + -6y = 0 + -5x2 Combine like terms: 5x2 + -5x2 = 0 0 + -6y = 0 + -5x2 -6y = 0 + -5x2 Remove the zero: -6y = -5x2 Add '6y' to each side of the equation. -6y + 6y = -5x2 + 6y Combine like terms: -6y + 6y = 0 0 = -5x2 + 6y Simplifying 0 = -5x2 + 6y 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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