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Simplifying x2dy = (y2 + -3xy) * dx Reorder the terms: dx2y = (-3xy + y2) * dx Reorder the terms for easier multiplication: dx2y = dx(-3xy + y2) dx2y = (-3xy * dx + y2 * dx) Reorder the terms: dx2y = (dxy2 + -3dx2y) dx2y = (dxy2 + -3dx2y) Solving dx2y = dxy2 + -3dx2y Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-1dxy2' to each side of the equation. -1dxy2 + dx2y = dxy2 + -1dxy2 + -3dx2y Combine like terms: dxy2 + -1dxy2 = 0 -1dxy2 + dx2y = 0 + -3dx2y -1dxy2 + dx2y = -3dx2y Add '3dx2y' to each side of the equation. -1dxy2 + dx2y + 3dx2y = -3dx2y + 3dx2y Combine like terms: dx2y + 3dx2y = 4dx2y -1dxy2 + 4dx2y = -3dx2y + 3dx2y Combine like terms: -3dx2y + 3dx2y = 0 -1dxy2 + 4dx2y = 0 Factor out the Greatest Common Factor (GCF), 'dxy'. dxy(-1y + 4x) = 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 '(-1y + 4x)' equal to zero and attempt to solve: Simplifying -1y + 4x = 0 Reorder the terms: 4x + -1y = 0 Solving 4x + -1y = 0 Move all terms containing d to the left, all other terms to the right. Add '-4x' to each side of the equation. 4x + -4x + -1y = 0 + -4x Combine like terms: 4x + -4x = 0 0 + -1y = 0 + -4x -1y = 0 + -4x Remove the zero: -1y = -4x Add 'y' to each side of the equation. -1y + y = -4x + y Combine like terms: -1y + y = 0 0 = -4x + y Simplifying 0 = -4x + y 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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