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Simplifying (3xy2 + -3y) * dx + (3x2y + -3x) * dy = 0 Reorder the terms for easier multiplication: dx(3xy2 + -3y) + (3x2y + -3x) * dy = 0 (3xy2 * dx + -3y * dx) + (3x2y + -3x) * dy = 0 Reorder the terms: (-3dxy + 3dx2y2) + (3x2y + -3x) * dy = 0 (-3dxy + 3dx2y2) + (3x2y + -3x) * dy = 0 Reorder the terms: -3dxy + 3dx2y2 + (-3x + 3x2y) * dy = 0 Reorder the terms for easier multiplication: -3dxy + 3dx2y2 + dy(-3x + 3x2y) = 0 -3dxy + 3dx2y2 + (-3x * dy + 3x2y * dy) = 0 -3dxy + 3dx2y2 + (-3dxy + 3dx2y2) = 0 Reorder the terms: -3dxy + -3dxy + 3dx2y2 + 3dx2y2 = 0 Combine like terms: -3dxy + -3dxy = -6dxy -6dxy + 3dx2y2 + 3dx2y2 = 0 Combine like terms: 3dx2y2 + 3dx2y2 = 6dx2y2 -6dxy + 6dx2y2 = 0 Solving -6dxy + 6dx2y2 = 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), '6dxy'. 6dxy(-1 + xy) = 0 Ignore the factor 6.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 '(-1 + xy)' equal to zero and attempt to solve: Simplifying -1 + xy = 0 Solving -1 + xy = 0 Move all terms containing d to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + xy = 0 + 1 Combine like terms: -1 + 1 = 0 0 + xy = 0 + 1 xy = 0 + 1 Combine like terms: 0 + 1 = 1 xy = 1 Add '-1xy' to each side of the equation. xy + -1xy = 1 + -1xy Combine like terms: xy + -1xy = 0 0 = 1 + -1xy Simplifying 0 = 1 + -1xy 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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