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Simplifying (y2) * dx = (x2 + 1) * dy Multiply y2 * dx dxy2 = (x2 + 1) * dy Reorder the terms: dxy2 = (1 + x2) * dy Reorder the terms for easier multiplication: dxy2 = dy(1 + x2) dxy2 = (1 * dy + x2 * dy) Reorder the terms: dxy2 = (dx2y + 1dy) dxy2 = (dx2y + 1dy) Solving dxy2 = dx2y + 1dy Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-1dx2y' to each side of the equation. dxy2 + -1dx2y = dx2y + -1dx2y + 1dy Combine like terms: dx2y + -1dx2y = 0 dxy2 + -1dx2y = 0 + 1dy dxy2 + -1dx2y = 1dy Add '-1dy' to each side of the equation. dxy2 + -1dx2y + -1dy = 1dy + -1dy Combine like terms: 1dy + -1dy = 0 dxy2 + -1dx2y + -1dy = 0 Factor out the Greatest Common Factor (GCF), 'dy'. dy(xy + -1x2 + -1) = 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 '(xy + -1x2 + -1)' equal to zero and attempt to solve: Simplifying xy + -1x2 + -1 = 0 Reorder the terms: -1 + xy + -1x2 = 0 Solving -1 + xy + -1x2 = 0 Move all terms containing d to the left, all other terms to the right. Add '1' to each side of the equation. -1 + xy + 1 + -1x2 = 0 + 1 Reorder the terms: -1 + 1 + xy + -1x2 = 0 + 1 Combine like terms: -1 + 1 = 0 0 + xy + -1x2 = 0 + 1 xy + -1x2 = 0 + 1 Combine like terms: 0 + 1 = 1 xy + -1x2 = 1 Add '-1xy' to each side of the equation. xy + -1xy + -1x2 = 1 + -1xy Combine like terms: xy + -1xy = 0 0 + -1x2 = 1 + -1xy -1x2 = 1 + -1xy Add 'x2' to each side of the equation. -1x2 + x2 = 1 + -1xy + x2 Combine like terms: -1x2 + x2 = 0 0 = 1 + -1xy + x2 Simplifying 0 = 1 + -1xy + x2 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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