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Simplifying (2xy3 + y4) * dx + -1(xy3 + -2) * dy = 0 Reorder the terms for easier multiplication: dx(2xy3 + y4) + -1(xy3 + -2) * dy = 0 (2xy3 * dx + y4 * dx) + -1(xy3 + -2) * dy = 0 Reorder the terms: (dxy4 + 2dx2y3) + -1(xy3 + -2) * dy = 0 (dxy4 + 2dx2y3) + -1(xy3 + -2) * dy = 0 Reorder the terms: dxy4 + 2dx2y3 + -1(-2 + xy3) * dy = 0 Reorder the terms for easier multiplication: dxy4 + 2dx2y3 + -1dy(-2 + xy3) = 0 dxy4 + 2dx2y3 + (-2 * -1dy + xy3 * -1dy) = 0 Reorder the terms: dxy4 + 2dx2y3 + (-1dxy4 + 2dy) = 0 dxy4 + 2dx2y3 + (-1dxy4 + 2dy) = 0 Reorder the terms: dxy4 + -1dxy4 + 2dx2y3 + 2dy = 0 Combine like terms: dxy4 + -1dxy4 = 0 0 + 2dx2y3 + 2dy = 0 2dx2y3 + 2dy = 0 Solving 2dx2y3 + 2dy = 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), '2dy'. 2dy(x2y2 + 1) = 0 Ignore the factor 2.Subproblem 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 '(x2y2 + 1)' equal to zero and attempt to solve: Simplifying x2y2 + 1 = 0 Reorder the terms: 1 + x2y2 = 0 Solving 1 + x2y2 = 0 Move all terms containing d to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + x2y2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + x2y2 = 0 + -1 x2y2 = 0 + -1 Combine like terms: 0 + -1 = -1 x2y2 = -1 Add '-1x2y2' to each side of the equation. x2y2 + -1x2y2 = -1 + -1x2y2 Combine like terms: x2y2 + -1x2y2 = 0 0 = -1 + -1x2y2 Simplifying 0 = -1 + -1x2y2 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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