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Simplifying y(x + 4) * dx + (x + 2y + -1) * dx = 0 Reorder the terms: y(4 + x) * dx + (x + 2y + -1) * dx = 0 Reorder the terms for easier multiplication: y * dx(4 + x) + (x + 2y + -1) * dx = 0 Multiply y * dx dxy(4 + x) + (x + 2y + -1) * dx = 0 (4 * dxy + x * dxy) + (x + 2y + -1) * dx = 0 (4dxy + dx2y) + (x + 2y + -1) * dx = 0 Reorder the terms: 4dxy + dx2y + (-1 + x + 2y) * dx = 0 Reorder the terms for easier multiplication: 4dxy + dx2y + dx(-1 + x + 2y) = 0 4dxy + dx2y + (-1 * dx + x * dx + 2y * dx) = 0 Reorder the terms: 4dxy + dx2y + (-1dx + 2dxy + dx2) = 0 4dxy + dx2y + (-1dx + 2dxy + dx2) = 0 Reorder the terms: -1dx + 4dxy + 2dxy + dx2 + dx2y = 0 Combine like terms: 4dxy + 2dxy = 6dxy -1dx + 6dxy + dx2 + dx2y = 0 Solving -1dx + 6dxy + 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 + 6y + 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 + 6y + x + xy)' equal to zero and attempt to solve: Simplifying -1 + 6y + x + xy = 0 Reorder the terms: -1 + x + xy + 6y = 0 Solving -1 + x + xy + 6y = 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 + 1 + 6y = 0 + 1 Reorder the terms: -1 + 1 + x + xy + 6y = 0 + 1 Combine like terms: -1 + 1 = 0 0 + x + xy + 6y = 0 + 1 x + xy + 6y = 0 + 1 Combine like terms: 0 + 1 = 1 x + xy + 6y = 1 Add '-1x' to each side of the equation. x + xy + -1x + 6y = 1 + -1x Reorder the terms: x + -1x + xy + 6y = 1 + -1x Combine like terms: x + -1x = 0 0 + xy + 6y = 1 + -1x xy + 6y = 1 + -1x Add '-1xy' to each side of the equation. xy + -1xy + 6y = 1 + -1x + -1xy Combine like terms: xy + -1xy = 0 0 + 6y = 1 + -1x + -1xy 6y = 1 + -1x + -1xy Add '-6y' to each side of the equation. 6y + -6y = 1 + -1x + -1xy + -6y Combine like terms: 6y + -6y = 0 0 = 1 + -1x + -1xy + -6y Simplifying 0 = 1 + -1x + -1xy + -6y 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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