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Simplifying Xdy + -1ydx = x3y(xdy + ydx) Reorder the terms: -1dxy + dyX = x3y(xdy + ydx) Combine like terms: dxy + dxy = 2dxy -1dxy + dyX = x3y(2dxy) Remove parenthesis around (2dxy) -1dxy + dyX = x3y * 2dxy Reorder the terms for easier multiplication: -1dxy + dyX = 2x3y * dxy Multiply x3y * dxy -1dxy + dyX = 2dx4y2 Solving -1dxy + dyX = 2dx4y2 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-2dx4y2' to each side of the equation. -1dxy + -2dx4y2 + dyX = 2dx4y2 + -2dx4y2 Combine like terms: 2dx4y2 + -2dx4y2 = 0 -1dxy + -2dx4y2 + dyX = 0 Factor out the Greatest Common Factor (GCF), 'dy'. dy(-1x + -2x4y + X) = 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 + -2x4y + X)' equal to zero and attempt to solve: Simplifying -1x + -2x4y + X = 0 Reorder the terms: X + -1x + -2x4y = 0 Solving X + -1x + -2x4y = 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 + -2x4y = 0 + -1X Reorder the terms: X + -1X + -1x + -2x4y = 0 + -1X Combine like terms: X + -1X = 0 0 + -1x + -2x4y = 0 + -1X -1x + -2x4y = 0 + -1X Remove the zero: -1x + -2x4y = -1X Add 'x' to each side of the equation. -1x + x + -2x4y = -1X + x Combine like terms: -1x + x = 0 0 + -2x4y = -1X + x -2x4y = -1X + x Add '2x4y' to each side of the equation. -2x4y + 2x4y = -1X + x + 2x4y Combine like terms: -2x4y + 2x4y = 0 0 = -1X + x + 2x4y Simplifying 0 = -1X + x + 2x4y 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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