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Simplifying y(3 + -1xy) * dx + x(2 + -1xy) * dy = 0 Reorder the terms for easier multiplication: y * dx(3 + -1xy) + x(2 + -1xy) * dy = 0 Multiply y * dx dxy(3 + -1xy) + x(2 + -1xy) * dy = 0 (3 * dxy + -1xy * dxy) + x(2 + -1xy) * dy = 0 (3dxy + -1dx2y2) + x(2 + -1xy) * dy = 0 Reorder the terms for easier multiplication: 3dxy + -1dx2y2 + x * dy(2 + -1xy) = 0 Multiply x * dy 3dxy + -1dx2y2 + dxy(2 + -1xy) = 0 3dxy + -1dx2y2 + (2 * dxy + -1xy * dxy) = 0 3dxy + -1dx2y2 + (2dxy + -1dx2y2) = 0 Reorder the terms: 3dxy + 2dxy + -1dx2y2 + -1dx2y2 = 0 Combine like terms: 3dxy + 2dxy = 5dxy 5dxy + -1dx2y2 + -1dx2y2 = 0 Combine like terms: -1dx2y2 + -1dx2y2 = -2dx2y2 5dxy + -2dx2y2 = 0 Solving 5dxy + -2dx2y2 = 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(5 + -2xy) = 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 '(5 + -2xy)' equal to zero and attempt to solve: Simplifying 5 + -2xy = 0 Solving 5 + -2xy = 0 Move all terms containing d to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -2xy = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -2xy = 0 + -5 -2xy = 0 + -5 Combine like terms: 0 + -5 = -5 -2xy = -5 Add '2xy' to each side of the equation. -2xy + 2xy = -5 + 2xy Combine like terms: -2xy + 2xy = 0 0 = -5 + 2xy Simplifying 0 = -5 + 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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