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Simplifying (-3xy2 + 1y) * dx + (-3x2y + 1x) * dy = 0 Reorder the terms for easier multiplication: dx(-3xy2 + 1y) + (-3x2y + 1x) * dy = 0 (-3xy2 * dx + 1y * dx) + (-3x2y + 1x) * dy = 0 Reorder the terms: (1dxy + -3dx2y2) + (-3x2y + 1x) * dy = 0 (1dxy + -3dx2y2) + (-3x2y + 1x) * dy = 0 Reorder the terms: 1dxy + -3dx2y2 + (1x + -3x2y) * dy = 0 Reorder the terms for easier multiplication: 1dxy + -3dx2y2 + dy(1x + -3x2y) = 0 1dxy + -3dx2y2 + (1x * dy + -3x2y * dy) = 0 1dxy + -3dx2y2 + (1dxy + -3dx2y2) = 0 Reorder the terms: 1dxy + 1dxy + -3dx2y2 + -3dx2y2 = 0 Combine like terms: 1dxy + 1dxy = 2dxy 2dxy + -3dx2y2 + -3dx2y2 = 0 Combine like terms: -3dx2y2 + -3dx2y2 = -6dx2y2 2dxy + -6dx2y2 = 0 Solving 2dxy + -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), '2dxy'. 2dxy(1 + -3xy) = 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 '(1 + -3xy)' equal to zero and attempt to solve: Simplifying 1 + -3xy = 0 Solving 1 + -3xy = 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 + -3xy = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -3xy = 0 + -1 -3xy = 0 + -1 Combine like terms: 0 + -1 = -1 -3xy = -1 Add '3xy' to each side of the equation. -3xy + 3xy = -1 + 3xy Combine like terms: -3xy + 3xy = 0 0 = -1 + 3xy Simplifying 0 = -1 + 3xy 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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