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Simplifying (x + -1y) * dy + (y2 + -1xy) * dx = 0 Reorder the terms for easier multiplication: dy(x + -1y) + (y2 + -1xy) * dx = 0 (x * dy + -1y * dy) + (y2 + -1xy) * dx = 0 (dxy + -1dy2) + (y2 + -1xy) * dx = 0 Reorder the terms: dxy + -1dy2 + (-1xy + y2) * dx = 0 Reorder the terms for easier multiplication: dxy + -1dy2 + dx(-1xy + y2) = 0 dxy + -1dy2 + (-1xy * dx + y2 * dx) = 0 Reorder the terms: dxy + -1dy2 + (dxy2 + -1dx2y) = 0 dxy + -1dy2 + (dxy2 + -1dx2y) = 0 Reorder the terms: dxy + dxy2 + -1dx2y + -1dy2 = 0 Solving dxy + dxy2 + -1dx2y + -1dy2 = 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), 'dy'. dy(x + xy + -1x2 + -1y) = 0Subproblem 1
Set the factor 'dy' equal to zero and attempt to solve: Simplifying dy = 0 Solving dy = 0 Move all terms containing d to the left, all other terms to the right. Simplifying dy = 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 '(x + xy + -1x2 + -1y)' equal to zero and attempt to solve: Simplifying x + xy + -1x2 + -1y = 0 Solving x + xy + -1x2 + -1y = 0 Move all terms containing d to the left, all other terms to the right. Add '-1x' to each side of the equation. x + xy + -1x2 + -1x + -1y = 0 + -1x Reorder the terms: x + -1x + xy + -1x2 + -1y = 0 + -1x Combine like terms: x + -1x = 0 0 + xy + -1x2 + -1y = 0 + -1x xy + -1x2 + -1y = 0 + -1x Remove the zero: xy + -1x2 + -1y = -1x Add '-1xy' to each side of the equation. xy + -1x2 + -1xy + -1y = -1x + -1xy Reorder the terms: xy + -1xy + -1x2 + -1y = -1x + -1xy Combine like terms: xy + -1xy = 0 0 + -1x2 + -1y = -1x + -1xy -1x2 + -1y = -1x + -1xy Add 'x2' to each side of the equation. -1x2 + x2 + -1y = -1x + -1xy + x2 Combine like terms: -1x2 + x2 = 0 0 + -1y = -1x + -1xy + x2 -1y = -1x + -1xy + x2 Add 'y' to each side of the equation. -1y + y = -1x + -1xy + x2 + y Combine like terms: -1y + y = 0 0 = -1x + -1xy + x2 + y Simplifying 0 = -1x + -1xy + x2 + y 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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