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Simplifying ((-2xy2) + -3y) * dx + ((-2x2) * y + -3x) * dy = 0 Reorder the terms for easier multiplication: dx((-2xy2) + -3y) + ((-2x2) * y + -3x) * dy = 0 ((-2xy2) * dx + -3y * dx) + ((-2x2) * y + -3x) * dy = 0 Reorder the terms: (-3dxy + -2dx2y2) + ((-2x2) * y + -3x) * dy = 0 (-3dxy + -2dx2y2) + ((-2x2) * y + -3x) * dy = 0 Remove parenthesis around (-2x2) -3dxy + -2dx2y2 + (-2x2 * y + -3x) * dy = 0 Multiply x2 * y -3dxy + -2dx2y2 + (-2x2y + -3x) * dy = 0 Reorder the terms: -3dxy + -2dx2y2 + (-3x + -2x2y) * dy = 0 Reorder the terms for easier multiplication: -3dxy + -2dx2y2 + dy(-3x + -2x2y) = 0 -3dxy + -2dx2y2 + (-3x * dy + -2x2y * dy) = 0 -3dxy + -2dx2y2 + (-3dxy + -2dx2y2) = 0 Reorder the terms: -3dxy + -3dxy + -2dx2y2 + -2dx2y2 = 0 Combine like terms: -3dxy + -3dxy = -6dxy -6dxy + -2dx2y2 + -2dx2y2 = 0 Combine like terms: -2dx2y2 + -2dx2y2 = -4dx2y2 -6dxy + -4dx2y2 = 0 Solving -6dxy + -4dx2y2 = 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), '-2dxy'. -2dxy(3 + 2xy) = 0 Ignore the factor -2.Subproblem 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 '(3 + 2xy)' equal to zero and attempt to solve: Simplifying 3 + 2xy = 0 Solving 3 + 2xy = 0 Move all terms containing d to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 2xy = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 2xy = 0 + -3 2xy = 0 + -3 Combine like terms: 0 + -3 = -3 2xy = -3 Add '-2xy' to each side of the equation. 2xy + -2xy = -3 + -2xy Combine like terms: 2xy + -2xy = 0 0 = -3 + -2xy Simplifying 0 = -3 + -2xy 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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