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Simplifying (2xy + y) * dx + (x * 2 + -1x) * dy = 0 Reorder the terms for easier multiplication: dx(2xy + y) + (x * 2 + -1x) * dy = 0 (2xy * dx + y * dx) + (x * 2 + -1x) * dy = 0 Reorder the terms: (dxy + 2dx2y) + (x * 2 + -1x) * dy = 0 (dxy + 2dx2y) + (x * 2 + -1x) * dy = 0 Reorder the terms for easier multiplication: dxy + 2dx2y + (2x + -1x) * dy = 0 Combine like terms: 2x + -1x = 1x dxy + 2dx2y + (1x) * dy = 0 Remove parenthesis around (1x) dxy + 2dx2y + 1x * dy = 0 Multiply x * dy dxy + 2dx2y + 1dxy = 0 Reorder the terms: dxy + 1dxy + 2dx2y = 0 Combine like terms: dxy + 1dxy = 2dxy 2dxy + 2dx2y = 0 Solving 2dxy + 2dx2y = 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 + x) = 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 + x)' equal to zero and attempt to solve: Simplifying 1 + x = 0 Solving 1 + x = 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 + x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + x = 0 + -1 x = 0 + -1 Combine like terms: 0 + -1 = -1 x = -1 Add '-1x' to each side of the equation. x + -1x = -1 + -1x Combine like terms: x + -1x = 0 0 = -1 + -1x Simplifying 0 = -1 + -1x 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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