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Simplifying (y3 + y + 1) * dx + x(x + -3y2 + -1) * dy = 0 Reorder the terms: (1 + y + y3) * dx + x(x + -3y2 + -1) * dy = 0 Reorder the terms for easier multiplication: dx(1 + y + y3) + x(x + -3y2 + -1) * dy = 0 (1 * dx + y * dx + y3 * dx) + x(x + -3y2 + -1) * dy = 0 (1dx + dxy + dxy3) + x(x + -3y2 + -1) * dy = 0 Reorder the terms: 1dx + dxy + dxy3 + x(-1 + x + -3y2) * dy = 0 Reorder the terms for easier multiplication: 1dx + dxy + dxy3 + x * dy(-1 + x + -3y2) = 0 Multiply x * dy 1dx + dxy + dxy3 + dxy(-1 + x + -3y2) = 0 1dx + dxy + dxy3 + (-1 * dxy + x * dxy + -3y2 * dxy) = 0 Reorder the terms: 1dx + dxy + dxy3 + (-1dxy + -3dxy3 + dx2y) = 0 1dx + dxy + dxy3 + (-1dxy + -3dxy3 + dx2y) = 0 Reorder the terms: 1dx + dxy + -1dxy + dxy3 + -3dxy3 + dx2y = 0 Combine like terms: dxy + -1dxy = 0 1dx + 0 + dxy3 + -3dxy3 + dx2y = 0 1dx + dxy3 + -3dxy3 + dx2y = 0 Combine like terms: dxy3 + -3dxy3 = -2dxy3 1dx + -2dxy3 + dx2y = 0 Solving 1dx + -2dxy3 + 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 + -2y3 + 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 + -2y3 + xy)' equal to zero and attempt to solve: Simplifying 1 + -2y3 + xy = 0 Reorder the terms: 1 + xy + -2y3 = 0 Solving 1 + xy + -2y3 = 0 Move all terms containing d to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + xy + -1 + -2y3 = 0 + -1 Reorder the terms: 1 + -1 + xy + -2y3 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + xy + -2y3 = 0 + -1 xy + -2y3 = 0 + -1 Combine like terms: 0 + -1 = -1 xy + -2y3 = -1 Add '-1xy' to each side of the equation. xy + -1xy + -2y3 = -1 + -1xy Combine like terms: xy + -1xy = 0 0 + -2y3 = -1 + -1xy -2y3 = -1 + -1xy Add '2y3' to each side of the equation. -2y3 + 2y3 = -1 + -1xy + 2y3 Combine like terms: -2y3 + 2y3 = 0 0 = -1 + -1xy + 2y3 Simplifying 0 = -1 + -1xy + 2y3 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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