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Simplifying (4x + 3y2) * dx + (2x2y) * dy = 0 Reorder the terms for easier multiplication: dx(4x + 3y2) + (2x2y) * dy = 0 (4x * dx + 3y2 * dx) + (2x2y) * dy = 0 Reorder the terms: (3dxy2 + 4dx2) + (2x2y) * dy = 0 (3dxy2 + 4dx2) + (2x2y) * dy = 0 Remove parenthesis around (2x2y) 3dxy2 + 4dx2 + 2x2y * dy = 0 Multiply x2y * dy 3dxy2 + 4dx2 + 2dx2y2 = 0 Solving 3dxy2 + 4dx2 + 2dx2y2 = 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(3y2 + 4x + 2xy2) = 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 '(3y2 + 4x + 2xy2)' equal to zero and attempt to solve: Simplifying 3y2 + 4x + 2xy2 = 0 Reorder the terms: 4x + 2xy2 + 3y2 = 0 Solving 4x + 2xy2 + 3y2 = 0 Move all terms containing d to the left, all other terms to the right. Add '-4x' to each side of the equation. 4x + 2xy2 + -4x + 3y2 = 0 + -4x Reorder the terms: 4x + -4x + 2xy2 + 3y2 = 0 + -4x Combine like terms: 4x + -4x = 0 0 + 2xy2 + 3y2 = 0 + -4x 2xy2 + 3y2 = 0 + -4x Remove the zero: 2xy2 + 3y2 = -4x Add '-2xy2' to each side of the equation. 2xy2 + -2xy2 + 3y2 = -4x + -2xy2 Combine like terms: 2xy2 + -2xy2 = 0 0 + 3y2 = -4x + -2xy2 3y2 = -4x + -2xy2 Add '-3y2' to each side of the equation. 3y2 + -3y2 = -4x + -2xy2 + -3y2 Combine like terms: 3y2 + -3y2 = 0 0 = -4x + -2xy2 + -3y2 Simplifying 0 = -4x + -2xy2 + -3y2 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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