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