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Simplifying (X + y) * dy + -1ydx = 0 Reorder the terms for easier multiplication: dy(X + y) + -1ydx = 0 (X * dy + y * dy) + -1ydx = 0 (dyX + dy2) + -1ydx = 0 Reorder the terms: -1dxy + dyX + dy2 = 0 Solving -1dxy + dyX + dy2 = 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), 'dy'. dy(-1x + X + y) = 0Subproblem 1
Set the factor 'dy' equal to zero and attempt to solve: Simplifying dy = 0 Solving dy = 0 Move all terms containing d to the left, all other terms to the right. Simplifying dy = 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 '(-1x + X + y)' equal to zero and attempt to solve: Simplifying -1x + X + y = 0 Reorder the terms: X + -1x + y = 0 Solving X + -1x + y = 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 + y = 0 + -1X Reorder the terms: X + -1X + -1x + y = 0 + -1X Combine like terms: X + -1X = 0 0 + -1x + y = 0 + -1X -1x + y = 0 + -1X Remove the zero: -1x + y = -1X Add 'x' to each side of the equation. -1x + x + y = -1X + x Combine like terms: -1x + x = 0 0 + y = -1X + x y = -1X + x Add '-1y' to each side of the equation. y + -1y = -1X + x + -1y Combine like terms: y + -1y = 0 0 = -1X + x + -1y Simplifying 0 = -1X + x + -1y 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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