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Simplifying (xy2 + -1y3) * dx + (1 + -1xy2) * dy = 0 Reorder the terms for easier multiplication: dx(xy2 + -1y3) + (1 + -1xy2) * dy = 0 (xy2 * dx + -1y3 * dx) + (1 + -1xy2) * dy = 0 Reorder the terms: (-1dxy3 + dx2y2) + (1 + -1xy2) * dy = 0 (-1dxy3 + dx2y2) + (1 + -1xy2) * dy = 0 Reorder the terms for easier multiplication: -1dxy3 + dx2y2 + dy(1 + -1xy2) = 0 -1dxy3 + dx2y2 + (1 * dy + -1xy2 * dy) = 0 Reorder the terms: -1dxy3 + dx2y2 + (-1dxy3 + 1dy) = 0 -1dxy3 + dx2y2 + (-1dxy3 + 1dy) = 0 Reorder the terms: -1dxy3 + -1dxy3 + dx2y2 + 1dy = 0 Combine like terms: -1dxy3 + -1dxy3 = -2dxy3 -2dxy3 + dx2y2 + 1dy = 0 Solving -2dxy3 + dx2y2 + 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(-2xy2 + x2y + 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 '(-2xy2 + x2y + 1)' equal to zero and attempt to solve: Simplifying -2xy2 + x2y + 1 = 0 Reorder the terms: 1 + -2xy2 + x2y = 0 Solving 1 + -2xy2 + x2y = 0 Move all terms containing d to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -2xy2 + -1 + x2y = 0 + -1 Reorder the terms: 1 + -1 + -2xy2 + x2y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2xy2 + x2y = 0 + -1 -2xy2 + x2y = 0 + -1 Combine like terms: 0 + -1 = -1 -2xy2 + x2y = -1 Add '2xy2' to each side of the equation. -2xy2 + 2xy2 + x2y = -1 + 2xy2 Combine like terms: -2xy2 + 2xy2 = 0 0 + x2y = -1 + 2xy2 x2y = -1 + 2xy2 Add '-1x2y' to each side of the equation. x2y + -1x2y = -1 + 2xy2 + -1x2y Combine like terms: x2y + -1x2y = 0 0 = -1 + 2xy2 + -1x2y Simplifying 0 = -1 + 2xy2 + -1x2y 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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