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Simplifying (x2 + y2 + x) * dx + -1(xy) * dy = 0 Reorder the terms: (x + x2 + y2) * dx + -1(xy) * dy = 0 Reorder the terms for easier multiplication: dx(x + x2 + y2) + -1(xy) * dy = 0 (x * dx + x2 * dx + y2 * dx) + -1(xy) * dy = 0 Reorder the terms: (dxy2 + dx2 + dx3) + -1(xy) * dy = 0 (dxy2 + dx2 + dx3) + -1(xy) * dy = 0 Multiply xy * dy dxy2 + dx2 + dx3 + -1dxy2 = 0 Reorder the terms: dxy2 + -1dxy2 + dx2 + dx3 = 0 Combine like terms: dxy2 + -1dxy2 = 0 0 + dx2 + dx3 = 0 dx2 + dx3 = 0 Solving dx2 + dx3 = 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), 'dx2'. dx2(1 + x) = 0Subproblem 1
Set the factor 'dx2' equal to zero and attempt to solve: Simplifying dx2 = 0 Solving dx2 = 0 Move all terms containing d to the left, all other terms to the right. Simplifying dx2 = 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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