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Simplifying x2dy = (y + 1)(1 + -1x) * dx Reorder the terms: dx2y = (1 + y)(1 + -1x) * dx Reorder the terms for easier multiplication: dx2y = dx(1 + y)(1 + -1x) Multiply (1 + y) * (1 + -1x) dx2y = dx(1(1 + -1x) + y(1 + -1x)) dx2y = dx((1 * 1 + -1x * 1) + y(1 + -1x)) dx2y = dx((1 + -1x) + y(1 + -1x)) dx2y = dx(1 + -1x + (1 * y + -1x * y)) Reorder the terms: dx2y = dx(1 + -1x + (-1xy + 1y)) dx2y = dx(1 + -1x + (-1xy + 1y)) dx2y = dx(1 + -1x + -1xy + 1y) dx2y = (1 * dx + -1x * dx + -1xy * dx + 1y * dx) Reorder the terms: dx2y = (1dx + 1dxy + -1dx2 + -1dx2y) dx2y = (1dx + 1dxy + -1dx2 + -1dx2y) Solving dx2y = 1dx + 1dxy + -1dx2 + -1dx2y Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-1dx' to each side of the equation. -1dx + dx2y = 1dx + 1dxy + -1dx2 + -1dx + -1dx2y Reorder the terms: -1dx + dx2y = 1dx + -1dx + 1dxy + -1dx2 + -1dx2y Combine like terms: 1dx + -1dx = 0 -1dx + dx2y = 0 + 1dxy + -1dx2 + -1dx2y -1dx + dx2y = 1dxy + -1dx2 + -1dx2y Add '-1dxy' to each side of the equation. -1dx + -1dxy + dx2y = 1dxy + -1dx2 + -1dxy + -1dx2y Reorder the terms: -1dx + -1dxy + dx2y = 1dxy + -1dxy + -1dx2 + -1dx2y Combine like terms: 1dxy + -1dxy = 0 -1dx + -1dxy + dx2y = 0 + -1dx2 + -1dx2y -1dx + -1dxy + dx2y = -1dx2 + -1dx2y Add 'dx2' to each side of the equation. -1dx + -1dxy + dx2 + dx2y = -1dx2 + dx2 + -1dx2y Combine like terms: -1dx2 + dx2 = 0 -1dx + -1dxy + dx2 + dx2y = 0 + -1dx2y -1dx + -1dxy + dx2 + dx2y = -1dx2y Add 'dx2y' to each side of the equation. -1dx + -1dxy + dx2 + dx2y + dx2y = -1dx2y + dx2y Combine like terms: dx2y + dx2y = 2dx2y -1dx + -1dxy + dx2 + 2dx2y = -1dx2y + dx2y Combine like terms: -1dx2y + dx2y = 0 -1dx + -1dxy + dx2 + 2dx2y = 0 Factor out the Greatest Common Factor (GCF), 'dx'. dx(-1 + -1y + x + 2xy) = 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 + -1y + x + 2xy)' equal to zero and attempt to solve: Simplifying -1 + -1y + x + 2xy = 0 Reorder the terms: -1 + x + 2xy + -1y = 0 Solving -1 + x + 2xy + -1y = 0 Move all terms containing d to the left, all other terms to the right. Add '1' to each side of the equation. -1 + x + 2xy + 1 + -1y = 0 + 1 Reorder the terms: -1 + 1 + x + 2xy + -1y = 0 + 1 Combine like terms: -1 + 1 = 0 0 + x + 2xy + -1y = 0 + 1 x + 2xy + -1y = 0 + 1 Combine like terms: 0 + 1 = 1 x + 2xy + -1y = 1 Add '-1x' to each side of the equation. x + 2xy + -1x + -1y = 1 + -1x Reorder the terms: x + -1x + 2xy + -1y = 1 + -1x Combine like terms: x + -1x = 0 0 + 2xy + -1y = 1 + -1x 2xy + -1y = 1 + -1x Add '-2xy' to each side of the equation. 2xy + -2xy + -1y = 1 + -1x + -2xy Combine like terms: 2xy + -2xy = 0 0 + -1y = 1 + -1x + -2xy -1y = 1 + -1x + -2xy Add 'y' to each side of the equation. -1y + y = 1 + -1x + -2xy + y Combine like terms: -1y + y = 0 0 = 1 + -1x + -2xy + y Simplifying 0 = 1 + -1x + -2xy + 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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