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Simplifying (y4 + -2xy) * dx + 3x2dy = 0 Reorder the terms: (-2xy + y4) * dx + 3x2dy = 0 Reorder the terms for easier multiplication: dx(-2xy + y4) + 3x2dy = 0 (-2xy * dx + y4 * dx) + 3x2dy = 0 Reorder the terms: (dxy4 + -2dx2y) + 3x2dy = 0 (dxy4 + -2dx2y) + 3x2dy = 0 Combine like terms: -2dx2y + 3dx2y = 1dx2y dxy4 + 1dx2y = 0 Solving dxy4 + 1dx2y = 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(y3 + x) = 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 '(y3 + x)' equal to zero and attempt to solve: Simplifying y3 + x = 0 Reorder the terms: x + y3 = 0 Solving x + y3 = 0 Move all terms containing d to the left, all other terms to the right. Add '-1x' to each side of the equation. x + -1x + y3 = 0 + -1x Combine like terms: x + -1x = 0 0 + y3 = 0 + -1x y3 = 0 + -1x Remove the zero: y3 = -1x Add '-1y3' to each side of the equation. y3 + -1y3 = -1x + -1y3 Combine like terms: y3 + -1y3 = 0 0 = -1x + -1y3 Simplifying 0 = -1x + -1y3 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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