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Simplifying (xy + x) * dx + -1(y + -1x2y) * dx = 0 Reorder the terms: (x + xy) * dx + -1(y + -1x2y) * dx = 0 Reorder the terms for easier multiplication: dx(x + xy) + -1(y + -1x2y) * dx = 0 (x * dx + xy * dx) + -1(y + -1x2y) * dx = 0 (dx2 + dx2y) + -1(y + -1x2y) * dx = 0 Reorder the terms: dx2 + dx2y + -1(-1x2y + y) * dx = 0 Reorder the terms for easier multiplication: dx2 + dx2y + -1dx(-1x2y + y) = 0 dx2 + dx2y + (-1x2y * -1dx + y * -1dx) = 0 Reorder the terms: dx2 + dx2y + (-1dxy + 1dx3y) = 0 dx2 + dx2y + (-1dxy + 1dx3y) = 0 Reorder the terms: -1dxy + dx2 + dx2y + 1dx3y = 0 Solving -1dxy + dx2 + dx2y + 1dx3y = 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(-1y + x + xy + x2y) = 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 '(-1y + x + xy + x2y)' equal to zero and attempt to solve: Simplifying -1y + x + xy + x2y = 0 Reorder the terms: x + xy + x2y + -1y = 0 Solving x + xy + x2y + -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 + x2y + -1x + -1y = 0 + -1x Reorder the terms: x + -1x + xy + x2y + -1y = 0 + -1x Combine like terms: x + -1x = 0 0 + xy + x2y + -1y = 0 + -1x xy + x2y + -1y = 0 + -1x Remove the zero: xy + x2y + -1y = -1x Add '-1xy' to each side of the equation. xy + x2y + -1xy + -1y = -1x + -1xy Reorder the terms: xy + -1xy + x2y + -1y = -1x + -1xy Combine like terms: xy + -1xy = 0 0 + x2y + -1y = -1x + -1xy x2y + -1y = -1x + -1xy Add '-1x2y' to each side of the equation. x2y + -1x2y + -1y = -1x + -1xy + -1x2y Combine like terms: x2y + -1x2y = 0 0 + -1y = -1x + -1xy + -1x2y -1y = -1x + -1xy + -1x2y Add 'y' to each side of the equation. -1y + y = -1x + -1xy + -1x2y + y Combine like terms: -1y + y = 0 0 = -1x + -1xy + -1x2y + y Simplifying 0 = -1x + -1xy + -1x2y + 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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