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Simplifying (1 + x2 + y2 + x2y2) * dy = y2 * dx Reorder the terms: (1 + x2 + x2y2 + y2) * dy = y2 * dx Reorder the terms for easier multiplication: dy(1 + x2 + x2y2 + y2) = y2 * dx (1 * dy + x2 * dy + x2y2 * dy + y2 * dy) = y2 * dx Reorder the terms: (dx2y + dx2y3 + 1dy + dy3) = y2 * dx (dx2y + dx2y3 + 1dy + dy3) = y2 * dx Multiply y2 * dx dx2y + dx2y3 + 1dy + dy3 = dxy2 Solving dx2y + dx2y3 + 1dy + dy3 = dxy2 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-1dxy2' to each side of the equation. dx2y + dx2y3 + 1dy + -1dxy2 + dy3 = dxy2 + -1dxy2 Reorder the terms: -1dxy2 + dx2y + dx2y3 + 1dy + dy3 = dxy2 + -1dxy2 Combine like terms: dxy2 + -1dxy2 = 0 -1dxy2 + dx2y + dx2y3 + 1dy + dy3 = 0 Factor out the Greatest Common Factor (GCF), 'dy'. dy(-1xy + x2 + x2y2 + 1 + y2) = 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 '(-1xy + x2 + x2y2 + 1 + y2)' equal to zero and attempt to solve: Simplifying -1xy + x2 + x2y2 + 1 + y2 = 0 Reorder the terms: 1 + -1xy + x2 + x2y2 + y2 = 0 Solving 1 + -1xy + x2 + x2y2 + 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 + x2 + x2y2 + -1 + y2 = 0 + -1 Reorder the terms: 1 + -1 + -1xy + x2 + x2y2 + y2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1xy + x2 + x2y2 + y2 = 0 + -1 -1xy + x2 + x2y2 + y2 = 0 + -1 Combine like terms: 0 + -1 = -1 -1xy + x2 + x2y2 + y2 = -1 Add 'xy' to each side of the equation. -1xy + x2 + x2y2 + xy + y2 = -1 + xy Reorder the terms: -1xy + xy + x2 + x2y2 + y2 = -1 + xy Combine like terms: -1xy + xy = 0 0 + x2 + x2y2 + y2 = -1 + xy x2 + x2y2 + y2 = -1 + xy Add '-1x2' to each side of the equation. x2 + x2y2 + -1x2 + y2 = -1 + xy + -1x2 Reorder the terms: x2 + -1x2 + x2y2 + y2 = -1 + xy + -1x2 Combine like terms: x2 + -1x2 = 0 0 + x2y2 + y2 = -1 + xy + -1x2 x2y2 + y2 = -1 + xy + -1x2 Add '-1x2y2' to each side of the equation. x2y2 + -1x2y2 + y2 = -1 + xy + -1x2 + -1x2y2 Combine like terms: x2y2 + -1x2y2 = 0 0 + y2 = -1 + xy + -1x2 + -1x2y2 y2 = -1 + xy + -1x2 + -1x2y2 Add '-1y2' to each side of the equation. y2 + -1y2 = -1 + xy + -1x2 + -1x2y2 + -1y2 Combine like terms: y2 + -1y2 = 0 0 = -1 + xy + -1x2 + -1x2y2 + -1y2 Simplifying 0 = -1 + xy + -1x2 + -1x2y2 + -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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