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Simplifying y(2x + -1y + 2) * dx + 2(x + -1y) * dy = 0 Reorder the terms: y(2 + 2x + -1y) * dx + 2(x + -1y) * dy = 0 Reorder the terms for easier multiplication: y * dx(2 + 2x + -1y) + 2(x + -1y) * dy = 0 Multiply y * dx dxy(2 + 2x + -1y) + 2(x + -1y) * dy = 0 (2 * dxy + 2x * dxy + -1y * dxy) + 2(x + -1y) * dy = 0 Reorder the terms: (2dxy + -1dxy2 + 2dx2y) + 2(x + -1y) * dy = 0 (2dxy + -1dxy2 + 2dx2y) + 2(x + -1y) * dy = 0 Reorder the terms for easier multiplication: 2dxy + -1dxy2 + 2dx2y + 2dy(x + -1y) = 0 2dxy + -1dxy2 + 2dx2y + (x * 2dy + -1y * 2dy) = 0 2dxy + -1dxy2 + 2dx2y + (2dxy + -2dy2) = 0 Reorder the terms: 2dxy + 2dxy + -1dxy2 + 2dx2y + -2dy2 = 0 Combine like terms: 2dxy + 2dxy = 4dxy 4dxy + -1dxy2 + 2dx2y + -2dy2 = 0 Solving 4dxy + -1dxy2 + 2dx2y + -2dy2 = 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), 'dy'. dy(4x + -1xy + 2x2 + -2y) = 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 '(4x + -1xy + 2x2 + -2y)' equal to zero and attempt to solve: Simplifying 4x + -1xy + 2x2 + -2y = 0 Solving 4x + -1xy + 2x2 + -2y = 0 Move all terms containing d to the left, all other terms to the right. Add '-4x' to each side of the equation. 4x + -1xy + 2x2 + -4x + -2y = 0 + -4x Reorder the terms: 4x + -4x + -1xy + 2x2 + -2y = 0 + -4x Combine like terms: 4x + -4x = 0 0 + -1xy + 2x2 + -2y = 0 + -4x -1xy + 2x2 + -2y = 0 + -4x Remove the zero: -1xy + 2x2 + -2y = -4x Add 'xy' to each side of the equation. -1xy + 2x2 + xy + -2y = -4x + xy Reorder the terms: -1xy + xy + 2x2 + -2y = -4x + xy Combine like terms: -1xy + xy = 0 0 + 2x2 + -2y = -4x + xy 2x2 + -2y = -4x + xy Add '-2x2' to each side of the equation. 2x2 + -2x2 + -2y = -4x + xy + -2x2 Combine like terms: 2x2 + -2x2 = 0 0 + -2y = -4x + xy + -2x2 -2y = -4x + xy + -2x2 Add '2y' to each side of the equation. -2y + 2y = -4x + xy + -2x2 + 2y Combine like terms: -2y + 2y = 0 0 = -4x + xy + -2x2 + 2y Simplifying 0 = -4x + xy + -2x2 + 2y 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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