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Simplifying (1 + x) * yx + (1 + -1y) * xdy = 0 Reorder the terms for easier multiplication: xy(1 + x) + (1 + -1y) * xdy = 0 (1 * xy + x * xy) + (1 + -1y) * xdy = 0 (1xy + x2y) + (1 + -1y) * xdy = 0 Reorder the terms for easier multiplication: 1xy + x2y + dxy(1 + -1y) = 0 1xy + x2y + (1 * dxy + -1y * dxy) = 0 1xy + x2y + (1dxy + -1dxy2) = 0 Reorder the terms: 1dxy + -1dxy2 + 1xy + x2y = 0 Solving 1dxy + -1dxy2 + 1xy + x2y = 0 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-1xy' to each side of the equation. 1dxy + -1dxy2 + 1xy + -1xy + x2y = 0 + -1xy Combine like terms: 1xy + -1xy = 0 1dxy + -1dxy2 + 0 + x2y = 0 + -1xy 1dxy + -1dxy2 + x2y = 0 + -1xy Remove the zero: 1dxy + -1dxy2 + x2y = -1xy Add '-1x2y' to each side of the equation. 1dxy + -1dxy2 + x2y + -1x2y = -1xy + -1x2y Combine like terms: x2y + -1x2y = 0 1dxy + -1dxy2 + 0 = -1xy + -1x2y 1dxy + -1dxy2 = -1xy + -1x2y Reorder the terms: 1dxy + -1dxy2 + xy + x2y = -1xy + xy + -1x2y + x2y Combine like terms: -1xy + xy = 0 1dxy + -1dxy2 + xy + x2y = 0 + -1x2y + x2y 1dxy + -1dxy2 + xy + x2y = -1x2y + x2y Combine like terms: -1x2y + x2y = 0 1dxy + -1dxy2 + xy + x2y = 0 Factor out the Greatest Common Factor (GCF), 'xy'. xy(d + -1dy + 1 + x) = 0Subproblem 1
Set the factor 'xy' equal to zero and attempt to solve: Simplifying xy = 0 Solving xy = 0 Move all terms containing d to the left, all other terms to the right. Add '-1xy' to each side of the equation. xy + -1xy = 0 + -1xy Remove the zero: 0 = -1xy Simplifying 0 = -1xy 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 '(d + -1dy + 1 + x)' equal to zero and attempt to solve: Simplifying d + -1dy + 1 + x = 0 Reorder the terms: 1 + d + -1dy + x = 0 Solving 1 + d + -1dy + 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 + d + -1dy + -1 + x = 0 + -1 Reorder the terms: 1 + -1 + d + -1dy + x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + d + -1dy + x = 0 + -1 d + -1dy + x = 0 + -1 Combine like terms: 0 + -1 = -1 d + -1dy + x = -1 Add '-1x' to each side of the equation. d + -1dy + x + -1x = -1 + -1x Combine like terms: x + -1x = 0 d + -1dy + 0 = -1 + -1x d + -1dy = -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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