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Simplifying (4x + -2xy2) * dx + (x + x2y) * dy = 0 Reorder the terms for easier multiplication: dx(4x + -2xy2) + (x + x2y) * dy = 0 (4x * dx + -2xy2 * dx) + (x + x2y) * dy = 0 (4dx2 + -2dx2y2) + (x + x2y) * dy = 0 Reorder the terms for easier multiplication: 4dx2 + -2dx2y2 + dy(x + x2y) = 0 4dx2 + -2dx2y2 + (x * dy + x2y * dy) = 0 4dx2 + -2dx2y2 + (dxy + dx2y2) = 0 Reorder the terms: dxy + 4dx2 + -2dx2y2 + dx2y2 = 0 Combine like terms: -2dx2y2 + dx2y2 = -1dx2y2 dxy + 4dx2 + -1dx2y2 = 0 Solving dxy + 4dx2 + -1dx2y2 = 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(y + 4x + -1xy2) = 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 '(y + 4x + -1xy2)' equal to zero and attempt to solve: Simplifying y + 4x + -1xy2 = 0 Reorder the terms: 4x + -1xy2 + y = 0 Solving 4x + -1xy2 + y = 0 Move all terms containing d to the left, all other terms to the right. Add '-4x' to each side of the equation. 4x + -1xy2 + -4x + y = 0 + -4x Reorder the terms: 4x + -4x + -1xy2 + y = 0 + -4x Combine like terms: 4x + -4x = 0 0 + -1xy2 + y = 0 + -4x -1xy2 + y = 0 + -4x Remove the zero: -1xy2 + y = -4x Add 'xy2' to each side of the equation. -1xy2 + xy2 + y = -4x + xy2 Combine like terms: -1xy2 + xy2 = 0 0 + y = -4x + xy2 y = -4x + xy2 Add '-1y' to each side of the equation. y + -1y = -4x + xy2 + -1y Combine like terms: y + -1y = 0 0 = -4x + xy2 + -1y Simplifying 0 = -4x + xy2 + -1y 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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