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Simplifying (1 + -1x2) * dy + -1(2xy2 + xy) * dx = 0 Reorder the terms for easier multiplication: dy(1 + -1x2) + -1(2xy2 + xy) * dx = 0 (1 * dy + -1x2 * dy) + -1(2xy2 + xy) * dx = 0 Reorder the terms: (-1dx2y + 1dy) + -1(2xy2 + xy) * dx = 0 (-1dx2y + 1dy) + -1(2xy2 + xy) * dx = 0 Reorder the terms: -1dx2y + 1dy + -1(xy + 2xy2) * dx = 0 Reorder the terms for easier multiplication: -1dx2y + 1dy + -1dx(xy + 2xy2) = 0 -1dx2y + 1dy + (xy * -1dx + 2xy2 * -1dx) = 0 -1dx2y + 1dy + (-1dx2y + -2dx2y2) = 0 Reorder the terms: -1dx2y + -1dx2y + -2dx2y2 + 1dy = 0 Combine like terms: -1dx2y + -1dx2y = -2dx2y -2dx2y + -2dx2y2 + 1dy = 0 Solving -2dx2y + -2dx2y2 + 1dy = 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(-2x2 + -2x2y + 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 '(-2x2 + -2x2y + 1)' equal to zero and attempt to solve: Simplifying -2x2 + -2x2y + 1 = 0 Reorder the terms: 1 + -2x2 + -2x2y = 0 Solving 1 + -2x2 + -2x2y = 0 Move all terms containing d to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -2x2 + -1 + -2x2y = 0 + -1 Reorder the terms: 1 + -1 + -2x2 + -2x2y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2x2 + -2x2y = 0 + -1 -2x2 + -2x2y = 0 + -1 Combine like terms: 0 + -1 = -1 -2x2 + -2x2y = -1 Add '2x2' to each side of the equation. -2x2 + 2x2 + -2x2y = -1 + 2x2 Combine like terms: -2x2 + 2x2 = 0 0 + -2x2y = -1 + 2x2 -2x2y = -1 + 2x2 Add '2x2y' to each side of the equation. -2x2y + 2x2y = -1 + 2x2 + 2x2y Combine like terms: -2x2y + 2x2y = 0 0 = -1 + 2x2 + 2x2y Simplifying 0 = -1 + 2x2 + 2x2y 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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