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Simplifying 2(x + -1y + 2) * dx + x(x + -2y + 2) * dy = 0 Reorder the terms: 2(2 + x + -1y) * dx + x(x + -2y + 2) * dy = 0 Reorder the terms for easier multiplication: 2dx(2 + x + -1y) + x(x + -2y + 2) * dy = 0 (2 * 2dx + x * 2dx + -1y * 2dx) + x(x + -2y + 2) * dy = 0 Reorder the terms: (4dx + -2dxy + 2dx2) + x(x + -2y + 2) * dy = 0 (4dx + -2dxy + 2dx2) + x(x + -2y + 2) * dy = 0 Reorder the terms: 4dx + -2dxy + 2dx2 + x(2 + x + -2y) * dy = 0 Reorder the terms for easier multiplication: 4dx + -2dxy + 2dx2 + x * dy(2 + x + -2y) = 0 Multiply x * dy 4dx + -2dxy + 2dx2 + dxy(2 + x + -2y) = 0 4dx + -2dxy + 2dx2 + (2 * dxy + x * dxy + -2y * dxy) = 0 Reorder the terms: 4dx + -2dxy + 2dx2 + (2dxy + -2dxy2 + dx2y) = 0 4dx + -2dxy + 2dx2 + (2dxy + -2dxy2 + dx2y) = 0 Reorder the terms: 4dx + -2dxy + 2dxy + -2dxy2 + 2dx2 + dx2y = 0 Combine like terms: -2dxy + 2dxy = 0 4dx + 0 + -2dxy2 + 2dx2 + dx2y = 0 4dx + -2dxy2 + 2dx2 + dx2y = 0 Solving 4dx + -2dxy2 + 2dx2 + dx2y = 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(4 + -2y2 + 2x + xy) = 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 '(4 + -2y2 + 2x + xy)' equal to zero and attempt to solve: Simplifying 4 + -2y2 + 2x + xy = 0 Reorder the terms: 4 + 2x + xy + -2y2 = 0 Solving 4 + 2x + xy + -2y2 = 0 Move all terms containing d to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + 2x + xy + -4 + -2y2 = 0 + -4 Reorder the terms: 4 + -4 + 2x + xy + -2y2 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 2x + xy + -2y2 = 0 + -4 2x + xy + -2y2 = 0 + -4 Combine like terms: 0 + -4 = -4 2x + xy + -2y2 = -4 Add '-2x' to each side of the equation. 2x + xy + -2x + -2y2 = -4 + -2x Reorder the terms: 2x + -2x + xy + -2y2 = -4 + -2x Combine like terms: 2x + -2x = 0 0 + xy + -2y2 = -4 + -2x xy + -2y2 = -4 + -2x Add '-1xy' to each side of the equation. xy + -1xy + -2y2 = -4 + -2x + -1xy Combine like terms: xy + -1xy = 0 0 + -2y2 = -4 + -2x + -1xy -2y2 = -4 + -2x + -1xy Add '2y2' to each side of the equation. -2y2 + 2y2 = -4 + -2x + -1xy + 2y2 Combine like terms: -2y2 + 2y2 = 0 0 = -4 + -2x + -1xy + 2y2 Simplifying 0 = -4 + -2x + -1xy + 2y2 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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