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