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Simplifying (y + -1) * dx + x(x + 1) * dy = 0 Reorder the terms: (-1 + y) * dx + x(x + 1) * dy = 0 Reorder the terms for easier multiplication: dx(-1 + y) + x(x + 1) * dy = 0 (-1 * dx + y * dx) + x(x + 1) * dy = 0 (-1dx + dxy) + x(x + 1) * dy = 0 Reorder the terms: -1dx + dxy + x(1 + x) * dy = 0 Reorder the terms for easier multiplication: -1dx + dxy + x * dy(1 + x) = 0 Multiply x * dy -1dx + dxy + dxy(1 + x) = 0 -1dx + dxy + (1 * dxy + x * dxy) = 0 -1dx + dxy + (1dxy + dx2y) = 0 Combine like terms: dxy + 1dxy = 2dxy -1dx + 2dxy + dx2y = 0 Solving -1dx + 2dxy + dx2y = 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), 'dx'. dx(-1 + 2y + xy) = 0Subproblem 1
Set the factor 'dx' equal to zero and attempt to solve: Simplifying dx = 0 Solving dx = 0 Move all terms containing d to the left, all other terms to the right. Simplifying dx = 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 + 2y + xy)' equal to zero and attempt to solve: Simplifying -1 + 2y + xy = 0 Reorder the terms: -1 + xy + 2y = 0 Solving -1 + xy + 2y = 0 Move all terms containing d to the left, all other terms to the right. Add '1' to each side of the equation. -1 + xy + 1 + 2y = 0 + 1 Reorder the terms: -1 + 1 + xy + 2y = 0 + 1 Combine like terms: -1 + 1 = 0 0 + xy + 2y = 0 + 1 xy + 2y = 0 + 1 Combine like terms: 0 + 1 = 1 xy + 2y = 1 Add '-1xy' to each side of the equation. xy + -1xy + 2y = 1 + -1xy Combine like terms: xy + -1xy = 0 0 + 2y = 1 + -1xy 2y = 1 + -1xy Add '-2y' to each side of the equation. 2y + -2y = 1 + -1xy + -2y Combine like terms: 2y + -2y = 0 0 = 1 + -1xy + -2y Simplifying 0 = 1 + -1xy + -2y 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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