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Simplifying (2xy3 + -4y + 4x + -3) * dx + (3x2y2 + -4x) * dy = 0 Reorder the terms: (-3 + 4x + 2xy3 + -4y) * dx + (3x2y2 + -4x) * dy = 0 Reorder the terms for easier multiplication: dx(-3 + 4x + 2xy3 + -4y) + (3x2y2 + -4x) * dy = 0 (-3 * dx + 4x * dx + 2xy3 * dx + -4y * dx) + (3x2y2 + -4x) * dy = 0 Reorder the terms: (-3dx + -4dxy + 4dx2 + 2dx2y3) + (3x2y2 + -4x) * dy = 0 (-3dx + -4dxy + 4dx2 + 2dx2y3) + (3x2y2 + -4x) * dy = 0 Reorder the terms: -3dx + -4dxy + 4dx2 + 2dx2y3 + (-4x + 3x2y2) * dy = 0 Reorder the terms for easier multiplication: -3dx + -4dxy + 4dx2 + 2dx2y3 + dy(-4x + 3x2y2) = 0 -3dx + -4dxy + 4dx2 + 2dx2y3 + (-4x * dy + 3x2y2 * dy) = 0 -3dx + -4dxy + 4dx2 + 2dx2y3 + (-4dxy + 3dx2y3) = 0 Reorder the terms: -3dx + -4dxy + -4dxy + 4dx2 + 2dx2y3 + 3dx2y3 = 0 Combine like terms: -4dxy + -4dxy = -8dxy -3dx + -8dxy + 4dx2 + 2dx2y3 + 3dx2y3 = 0 Combine like terms: 2dx2y3 + 3dx2y3 = 5dx2y3 -3dx + -8dxy + 4dx2 + 5dx2y3 = 0 Solving -3dx + -8dxy + 4dx2 + 5dx2y3 = 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(-3 + -8y + 4x + 5xy3) = 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 '(-3 + -8y + 4x + 5xy3)' equal to zero and attempt to solve: Simplifying -3 + -8y + 4x + 5xy3 = 0 Reorder the terms: -3 + 4x + 5xy3 + -8y = 0 Solving -3 + 4x + 5xy3 + -8y = 0 Move all terms containing d to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 4x + 5xy3 + 3 + -8y = 0 + 3 Reorder the terms: -3 + 3 + 4x + 5xy3 + -8y = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 4x + 5xy3 + -8y = 0 + 3 4x + 5xy3 + -8y = 0 + 3 Combine like terms: 0 + 3 = 3 4x + 5xy3 + -8y = 3 Add '-4x' to each side of the equation. 4x + 5xy3 + -4x + -8y = 3 + -4x Reorder the terms: 4x + -4x + 5xy3 + -8y = 3 + -4x Combine like terms: 4x + -4x = 0 0 + 5xy3 + -8y = 3 + -4x 5xy3 + -8y = 3 + -4x Add '-5xy3' to each side of the equation. 5xy3 + -5xy3 + -8y = 3 + -4x + -5xy3 Combine like terms: 5xy3 + -5xy3 = 0 0 + -8y = 3 + -4x + -5xy3 -8y = 3 + -4x + -5xy3 Add '8y' to each side of the equation. -8y + 8y = 3 + -4x + -5xy3 + 8y Combine like terms: -8y + 8y = 0 0 = 3 + -4x + -5xy3 + 8y Simplifying 0 = 3 + -4x + -5xy3 + 8y 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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