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