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Simplifying (y2 + 2y + -1x2) * dx + x(y + 1) * dy = 0 Reorder the terms: (-1x2 + 2y + y2) * dx + x(y + 1) * dy = 0 Reorder the terms for easier multiplication: dx(-1x2 + 2y + y2) + x(y + 1) * dy = 0 (-1x2 * dx + 2y * dx + y2 * dx) + x(y + 1) * dy = 0 Reorder the terms: (2dxy + dxy2 + -1dx3) + x(y + 1) * dy = 0 (2dxy + dxy2 + -1dx3) + x(y + 1) * dy = 0 Reorder the terms: 2dxy + dxy2 + -1dx3 + x(1 + y) * dy = 0 Reorder the terms for easier multiplication: 2dxy + dxy2 + -1dx3 + x * dy(1 + y) = 0 Multiply x * dy 2dxy + dxy2 + -1dx3 + dxy(1 + y) = 0 2dxy + dxy2 + -1dx3 + (1 * dxy + y * dxy) = 0 2dxy + dxy2 + -1dx3 + (1dxy + dxy2) = 0 Reorder the terms: 2dxy + 1dxy + dxy2 + dxy2 + -1dx3 = 0 Combine like terms: 2dxy + 1dxy = 3dxy 3dxy + dxy2 + dxy2 + -1dx3 = 0 Combine like terms: dxy2 + dxy2 = 2dxy2 3dxy + 2dxy2 + -1dx3 = 0 Solving 3dxy + 2dxy2 + -1dx3 = 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(3y + 2y2 + -1x2) = 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 '(3y + 2y2 + -1x2)' equal to zero and attempt to solve: Simplifying 3y + 2y2 + -1x2 = 0 Reorder the terms: -1x2 + 3y + 2y2 = 0 Solving -1x2 + 3y + 2y2 = 0 Move all terms containing d to the left, all other terms to the right. Add 'x2' to each side of the equation. -1x2 + 3y + x2 + 2y2 = 0 + x2 Reorder the terms: -1x2 + x2 + 3y + 2y2 = 0 + x2 Combine like terms: -1x2 + x2 = 0 0 + 3y + 2y2 = 0 + x2 3y + 2y2 = 0 + x2 Remove the zero: 3y + 2y2 = x2 Add '-3y' to each side of the equation. 3y + -3y + 2y2 = x2 + -3y Combine like terms: 3y + -3y = 0 0 + 2y2 = x2 + -3y 2y2 = x2 + -3y Add '-2y2' to each side of the equation. 2y2 + -2y2 = x2 + -3y + -2y2 Combine like terms: 2y2 + -2y2 = 0 0 = x2 + -3y + -2y2 Simplifying 0 = x2 + -3y + -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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