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Simplifying (2x2y + -3y2) * dx + (3x2 + -2xy) * dy = 0 Reorder the terms for easier multiplication: dx(2x2y + -3y2) + (3x2 + -2xy) * dy = 0 (2x2y * dx + -3y2 * dx) + (3x2 + -2xy) * dy = 0 Reorder the terms: (-3dxy2 + 2dx3y) + (3x2 + -2xy) * dy = 0 (-3dxy2 + 2dx3y) + (3x2 + -2xy) * dy = 0 Reorder the terms: -3dxy2 + 2dx3y + (-2xy + 3x2) * dy = 0 Reorder the terms for easier multiplication: -3dxy2 + 2dx3y + dy(-2xy + 3x2) = 0 -3dxy2 + 2dx3y + (-2xy * dy + 3x2 * dy) = 0 -3dxy2 + 2dx3y + (-2dxy2 + 3dx2y) = 0 Reorder the terms: -3dxy2 + -2dxy2 + 3dx2y + 2dx3y = 0 Combine like terms: -3dxy2 + -2dxy2 = -5dxy2 -5dxy2 + 3dx2y + 2dx3y = 0 Solving -5dxy2 + 3dx2y + 2dx3y = 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(-5y + 3x + 2x2) = 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 '(-5y + 3x + 2x2)' equal to zero and attempt to solve: Simplifying -5y + 3x + 2x2 = 0 Reorder the terms: 3x + 2x2 + -5y = 0 Solving 3x + 2x2 + -5y = 0 Move all terms containing d to the left, all other terms to the right. Add '-3x' to each side of the equation. 3x + 2x2 + -3x + -5y = 0 + -3x Reorder the terms: 3x + -3x + 2x2 + -5y = 0 + -3x Combine like terms: 3x + -3x = 0 0 + 2x2 + -5y = 0 + -3x 2x2 + -5y = 0 + -3x Remove the zero: 2x2 + -5y = -3x Add '-2x2' to each side of the equation. 2x2 + -2x2 + -5y = -3x + -2x2 Combine like terms: 2x2 + -2x2 = 0 0 + -5y = -3x + -2x2 -5y = -3x + -2x2 Add '5y' to each side of the equation. -5y + 5y = -3x + -2x2 + 5y Combine like terms: -5y + 5y = 0 0 = -3x + -2x2 + 5y Simplifying 0 = -3x + -2x2 + 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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