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Simplifying (x2)(y2) * dy = (y + 1) * dx Multiply x2 * y2 x2y2 * dy = (y + 1) * dx Multiply x2y2 * dy dx2y3 = (y + 1) * dx Reorder the terms: dx2y3 = (1 + y) * dx Reorder the terms for easier multiplication: dx2y3 = dx(1 + y) dx2y3 = (1 * dx + y * dx) dx2y3 = (1dx + dxy) Solving dx2y3 = 1dx + dxy Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-1dx' to each side of the equation. -1dx + dx2y3 = 1dx + -1dx + dxy Combine like terms: 1dx + -1dx = 0 -1dx + dx2y3 = 0 + dxy -1dx + dx2y3 = dxy Add '-1dxy' to each side of the equation. -1dx + -1dxy + dx2y3 = dxy + -1dxy Combine like terms: dxy + -1dxy = 0 -1dx + -1dxy + dx2y3 = 0 Factor out the Greatest Common Factor (GCF), 'dx'. dx(-1 + -1y + xy3) = 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 '(-1 + -1y + xy3)' equal to zero and attempt to solve: Simplifying -1 + -1y + xy3 = 0 Reorder the terms: -1 + xy3 + -1y = 0 Solving -1 + xy3 + -1y = 0 Move all terms containing d to the left, all other terms to the right. Add '1' to each side of the equation. -1 + xy3 + 1 + -1y = 0 + 1 Reorder the terms: -1 + 1 + xy3 + -1y = 0 + 1 Combine like terms: -1 + 1 = 0 0 + xy3 + -1y = 0 + 1 xy3 + -1y = 0 + 1 Combine like terms: 0 + 1 = 1 xy3 + -1y = 1 Add '-1xy3' to each side of the equation. xy3 + -1xy3 + -1y = 1 + -1xy3 Combine like terms: xy3 + -1xy3 = 0 0 + -1y = 1 + -1xy3 -1y = 1 + -1xy3 Add 'y' to each side of the equation. -1y + y = 1 + -1xy3 + y Combine like terms: -1y + y = 0 0 = 1 + -1xy3 + y Simplifying 0 = 1 + -1xy3 + y 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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