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