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Simplifying (x + -1d + -1y) * ydx + -1x2dy = 0 Reorder the terms: (-1d + x + -1y) * ydx + -1x2dy = 0 Reorder the terms for easier multiplication: dxy(-1d + x + -1y) + -1x2dy = 0 (-1d * dxy + x * dxy + -1y * dxy) + -1x2dy = 0 Reorder the terms: (-1dxy2 + dx2y + -1d2xy) + -1x2dy = 0 (-1dxy2 + dx2y + -1d2xy) + -1x2dy = 0 Reorder the terms: -1dxy2 + dx2y + -1dx2y + -1d2xy = 0 Combine like terms: dx2y + -1dx2y = 0 -1dxy2 + 0 + -1d2xy = 0 -1dxy2 + -1d2xy = 0 Solving -1dxy2 + -1d2xy = 0 Solving for variable 'd'. Factor out the Greatest Common Factor (GCF), '-1dxy'. -1dxy(y + d) = 0 Ignore the factor -1.Subproblem 1
Set the factor 'dxy' equal to zero and attempt to solve: Simplifying dxy = 0 Solving dxy = 0 Move all terms containing d to the left, all other terms to the right. Simplifying dxy = 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 '(y + d)' equal to zero and attempt to solve: Simplifying y + d = 0 Reorder the terms: d + y = 0 Solving d + y = 0 Move all terms containing d to the left, all other terms to the right. Add '-1y' to each side of the equation. d + y + -1y = 0 + -1y Combine like terms: y + -1y = 0 d + 0 = 0 + -1y d = 0 + -1y Remove the zero: d = -1y Simplifying d = -1ySolution
d = {-1y}
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