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Simplifying y3dx + 2(x2 + -1xy2) * dy = 0 Reorder the terms: dxy3 + 2(-1xy2 + x2) * dy = 0 Reorder the terms for easier multiplication: dxy3 + 2dy(-1xy2 + x2) = 0 dxy3 + (-1xy2 * 2dy + x2 * 2dy) = 0 dxy3 + (-2dxy3 + 2dx2y) = 0 Combine like terms: dxy3 + -2dxy3 = -1dxy3 -1dxy3 + 2dx2y = 0 Solving -1dxy3 + 2dx2y = 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), 'dxy'. dxy(-1y2 + 2x) = 0Subproblem 1
Set the factor 'dxy' equal to zero and attempt to solve: Simplifying dxy = 0 Solving dxy = 0 Move all terms containing d to the left, all other terms to the right. Simplifying dxy = 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 '(-1y2 + 2x)' equal to zero and attempt to solve: Simplifying -1y2 + 2x = 0 Reorder the terms: 2x + -1y2 = 0 Solving 2x + -1y2 = 0 Move all terms containing d to the left, all other terms to the right. Add '-2x' to each side of the equation. 2x + -2x + -1y2 = 0 + -2x Combine like terms: 2x + -2x = 0 0 + -1y2 = 0 + -2x -1y2 = 0 + -2x Remove the zero: -1y2 = -2x Add 'y2' to each side of the equation. -1y2 + y2 = -2x + y2 Combine like terms: -1y2 + y2 = 0 0 = -2x + y2 Simplifying 0 = -2x + 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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