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Simplifying y(1 + y2) * dx = 2(1 + -2xy2) * dy Reorder the terms for easier multiplication: y * dx(1 + y2) = 2(1 + -2xy2) * dy Multiply y * dx dxy(1 + y2) = 2(1 + -2xy2) * dy (1 * dxy + y2 * dxy) = 2(1 + -2xy2) * dy (1dxy + dxy3) = 2(1 + -2xy2) * dy Reorder the terms for easier multiplication: 1dxy + dxy3 = 2dy(1 + -2xy2) 1dxy + dxy3 = (1 * 2dy + -2xy2 * 2dy) Reorder the terms: 1dxy + dxy3 = (-4dxy3 + 2dy) 1dxy + dxy3 = (-4dxy3 + 2dy) Solving 1dxy + dxy3 = -4dxy3 + 2dy Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '4dxy3' to each side of the equation. 1dxy + dxy3 + 4dxy3 = -4dxy3 + 4dxy3 + 2dy Combine like terms: dxy3 + 4dxy3 = 5dxy3 1dxy + 5dxy3 = -4dxy3 + 4dxy3 + 2dy Combine like terms: -4dxy3 + 4dxy3 = 0 1dxy + 5dxy3 = 0 + 2dy 1dxy + 5dxy3 = 2dy Add '-2dy' to each side of the equation. 1dxy + 5dxy3 + -2dy = 2dy + -2dy Combine like terms: 2dy + -2dy = 0 1dxy + 5dxy3 + -2dy = 0 Factor out the Greatest Common Factor (GCF), 'dy'. dy(x + 5xy2 + -2) = 0Subproblem 1
Set the factor 'dy' equal to zero and attempt to solve: Simplifying dy = 0 Solving dy = 0 Move all terms containing d to the left, all other terms to the right. Simplifying dy = 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 '(x + 5xy2 + -2)' equal to zero and attempt to solve: Simplifying x + 5xy2 + -2 = 0 Reorder the terms: -2 + x + 5xy2 = 0 Solving -2 + x + 5xy2 = 0 Move all terms containing d to the left, all other terms to the right. Add '2' to each side of the equation. -2 + x + 2 + 5xy2 = 0 + 2 Reorder the terms: -2 + 2 + x + 5xy2 = 0 + 2 Combine like terms: -2 + 2 = 0 0 + x + 5xy2 = 0 + 2 x + 5xy2 = 0 + 2 Combine like terms: 0 + 2 = 2 x + 5xy2 = 2 Add '-1x' to each side of the equation. x + -1x + 5xy2 = 2 + -1x Combine like terms: x + -1x = 0 0 + 5xy2 = 2 + -1x 5xy2 = 2 + -1x Add '-5xy2' to each side of the equation. 5xy2 + -5xy2 = 2 + -1x + -5xy2 Combine like terms: 5xy2 + -5xy2 = 0 0 = 2 + -1x + -5xy2 Simplifying 0 = 2 + -1x + -5xy2 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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