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Simplifying (y + -1x) * ydx + -1x2dy = 0 Reorder the terms: (-1x + y) * ydx + -1x2dy = 0 Reorder the terms for easier multiplication: dxy(-1x + y) + -1x2dy = 0 (-1x * dxy + y * dxy) + -1x2dy = 0 Reorder the terms: (dxy2 + -1dx2y) + -1x2dy = 0 (dxy2 + -1dx2y) + -1x2dy = 0 Combine like terms: -1dx2y + -1dx2y = -2dx2y dxy2 + -2dx2y = 0 Solving dxy2 + -2dx2y = 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), 'dxy'. dxy(y + -2x) = 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 '(y + -2x)' equal to zero and attempt to solve: Simplifying y + -2x = 0 Reorder the terms: -2x + y = 0 Solving -2x + y = 0 Move all terms containing d to the left, all other terms to the right. Add '2x' to each side of the equation. -2x + 2x + y = 0 + 2x Combine like terms: -2x + 2x = 0 0 + y = 0 + 2x y = 0 + 2x Remove the zero: y = 2x Add '-1y' to each side of the equation. y + -1y = 2x + -1y Combine like terms: y + -1y = 0 0 = 2x + -1y Simplifying 0 = 2x + -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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