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