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Simplifying dx + -1(xy + x2y3) * dy = 0 Reorder the terms for easier multiplication: dx + -1dy(xy + x2y3) = 0 dx + (xy * -1dy + x2y3 * -1dy) = 0 dx + (-1dxy2 + -1dx2y4) = 0 Solving dx + -1dxy2 + -1dx2y4 = 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), 'dx'. dx(1 + -1y2 + -1xy4) = 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 + -1y2 + -1xy4)' equal to zero and attempt to solve: Simplifying 1 + -1y2 + -1xy4 = 0 Reorder the terms: 1 + -1xy4 + -1y2 = 0 Solving 1 + -1xy4 + -1y2 = 0 Move all terms containing d to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1xy4 + -1 + -1y2 = 0 + -1 Reorder the terms: 1 + -1 + -1xy4 + -1y2 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1xy4 + -1y2 = 0 + -1 -1xy4 + -1y2 = 0 + -1 Combine like terms: 0 + -1 = -1 -1xy4 + -1y2 = -1 Add 'xy4' to each side of the equation. -1xy4 + xy4 + -1y2 = -1 + xy4 Combine like terms: -1xy4 + xy4 = 0 0 + -1y2 = -1 + xy4 -1y2 = -1 + xy4 Add 'y2' to each side of the equation. -1y2 + y2 = -1 + xy4 + y2 Combine like terms: -1y2 + y2 = 0 0 = -1 + xy4 + y2 Simplifying 0 = -1 + xy4 + y2 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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