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Simplifying (X + 4x2y2) * dy + 2ydx = 0 Reorder the terms for easier multiplication: dy(X + 4x2y2) + 2ydx = 0 (X * dy + 4x2y2 * dy) + 2ydx = 0 Reorder the terms: (4dx2y3 + dyX) + 2ydx = 0 (4dx2y3 + dyX) + 2ydx = 0 Reorder the terms: 2dxy + 4dx2y3 + dyX = 0 Solving 2dxy + 4dx2y3 + dyX = 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(2x + 4x2y2 + 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 '(2x + 4x2y2 + X)' equal to zero and attempt to solve: Simplifying 2x + 4x2y2 + X = 0 Reorder the terms: X + 2x + 4x2y2 = 0 Solving X + 2x + 4x2y2 = 0 Move all terms containing d to the left, all other terms to the right. Add '-1X' to each side of the equation. X + 2x + -1X + 4x2y2 = 0 + -1X Reorder the terms: X + -1X + 2x + 4x2y2 = 0 + -1X Combine like terms: X + -1X = 0 0 + 2x + 4x2y2 = 0 + -1X 2x + 4x2y2 = 0 + -1X Remove the zero: 2x + 4x2y2 = -1X Add '-2x' to each side of the equation. 2x + -2x + 4x2y2 = -1X + -2x Combine like terms: 2x + -2x = 0 0 + 4x2y2 = -1X + -2x 4x2y2 = -1X + -2x Add '-4x2y2' to each side of the equation. 4x2y2 + -4x2y2 = -1X + -2x + -4x2y2 Combine like terms: 4x2y2 + -4x2y2 = 0 0 = -1X + -2x + -4x2y2 Simplifying 0 = -1X + -2x + -4x2y2 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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