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Simplifying xdy + ydx = (x3y2 + -1x) * dx Combine like terms: dxy + dxy = 2dxy 2dxy = (x3y2 + -1x) * dx Reorder the terms: 2dxy = (-1x + x3y2) * dx Reorder the terms for easier multiplication: 2dxy = dx(-1x + x3y2) 2dxy = (-1x * dx + x3y2 * dx) 2dxy = (-1dx2 + dx4y2) Solving 2dxy = -1dx2 + dx4y2 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add 'dx2' to each side of the equation. 2dxy + dx2 = -1dx2 + dx2 + dx4y2 Combine like terms: -1dx2 + dx2 = 0 2dxy + dx2 = 0 + dx4y2 2dxy + dx2 = dx4y2 Add '-1dx4y2' to each side of the equation. 2dxy + dx2 + -1dx4y2 = dx4y2 + -1dx4y2 Combine like terms: dx4y2 + -1dx4y2 = 0 2dxy + dx2 + -1dx4y2 = 0 Factor out the Greatest Common Factor (GCF), 'dx'. dx(2y + x + -1x3y2) = 0Subproblem 1
Set the factor 'dx' equal to zero and attempt to solve: Simplifying dx = 0 Solving dx = 0 Move all terms containing d to the left, all other terms to the right. Simplifying dx = 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 '(2y + x + -1x3y2)' equal to zero and attempt to solve: Simplifying 2y + x + -1x3y2 = 0 Reorder the terms: x + -1x3y2 + 2y = 0 Solving x + -1x3y2 + 2y = 0 Move all terms containing d to the left, all other terms to the right. Add '-1x' to each side of the equation. x + -1x3y2 + -1x + 2y = 0 + -1x Reorder the terms: x + -1x + -1x3y2 + 2y = 0 + -1x Combine like terms: x + -1x = 0 0 + -1x3y2 + 2y = 0 + -1x -1x3y2 + 2y = 0 + -1x Remove the zero: -1x3y2 + 2y = -1x Add 'x3y2' to each side of the equation. -1x3y2 + x3y2 + 2y = -1x + x3y2 Combine like terms: -1x3y2 + x3y2 = 0 0 + 2y = -1x + x3y2 2y = -1x + x3y2 Add '-2y' to each side of the equation. 2y + -2y = -1x + x3y2 + -2y Combine like terms: 2y + -2y = 0 0 = -1x + x3y2 + -2y Simplifying 0 = -1x + x3y2 + -2y 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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