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Simplifying (2yx2 + 4) * dy = (3 + -2y2x) * dx Reorder the terms: (4 + 2x2y) * dy = (3 + -2y2x) * dx Reorder the terms for easier multiplication: dy(4 + 2x2y) = (3 + -2y2x) * dx (4 * dy + 2x2y * dy) = (3 + -2y2x) * dx Reorder the terms: (2dx2y2 + 4dy) = (3 + -2y2x) * dx (2dx2y2 + 4dy) = (3 + -2y2x) * dx Reorder the terms for easier multiplication: 2dx2y2 + 4dy = dx(3 + -2xy2) 2dx2y2 + 4dy = (3 * dx + -2xy2 * dx) 2dx2y2 + 4dy = (3dx + -2dx2y2) Solving 2dx2y2 + 4dy = 3dx + -2dx2y2 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-3dx' to each side of the equation. 2dx2y2 + -3dx + 4dy = 3dx + -3dx + -2dx2y2 Reorder the terms: -3dx + 2dx2y2 + 4dy = 3dx + -3dx + -2dx2y2 Combine like terms: 3dx + -3dx = 0 -3dx + 2dx2y2 + 4dy = 0 + -2dx2y2 -3dx + 2dx2y2 + 4dy = -2dx2y2 Add '2dx2y2' to each side of the equation. -3dx + 2dx2y2 + 2dx2y2 + 4dy = -2dx2y2 + 2dx2y2 Combine like terms: 2dx2y2 + 2dx2y2 = 4dx2y2 -3dx + 4dx2y2 + 4dy = -2dx2y2 + 2dx2y2 Combine like terms: -2dx2y2 + 2dx2y2 = 0 -3dx + 4dx2y2 + 4dy = 0 Factor out the Greatest Common Factor (GCF), 'd'. d(-3x + 4x2y2 + 4y) = 0Subproblem 1
Set the factor 'd' equal to zero and attempt to solve: Simplifying d = 0 Solving d = 0 Move all terms containing d to the left, all other terms to the right. Simplifying d = 0Subproblem 2
Set the factor '(-3x + 4x2y2 + 4y)' equal to zero and attempt to solve: Simplifying -3x + 4x2y2 + 4y = 0 Solving -3x + 4x2y2 + 4y = 0 Move all terms containing d to the left, all other terms to the right. Add '3x' to each side of the equation. -3x + 4x2y2 + 3x + 4y = 0 + 3x Reorder the terms: -3x + 3x + 4x2y2 + 4y = 0 + 3x Combine like terms: -3x + 3x = 0 0 + 4x2y2 + 4y = 0 + 3x 4x2y2 + 4y = 0 + 3x Remove the zero: 4x2y2 + 4y = 3x Add '-4x2y2' to each side of the equation. 4x2y2 + -4x2y2 + 4y = 3x + -4x2y2 Combine like terms: 4x2y2 + -4x2y2 = 0 0 + 4y = 3x + -4x2y2 4y = 3x + -4x2y2 Add '-4y' to each side of the equation. 4y + -4y = 3x + -4x2y2 + -4y Combine like terms: 4y + -4y = 0 0 = 3x + -4x2y2 + -4y Simplifying 0 = 3x + -4x2y2 + -4y The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
d = {0}
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