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Simplifying y(3x3 + -1x + y) * dx + x2(1 + -1x2) * dy = 0 Reorder the terms: y(-1x + 3x3 + y) * dx + x2(1 + -1x2) * dy = 0 Reorder the terms for easier multiplication: y * dx(-1x + 3x3 + y) + x2(1 + -1x2) * dy = 0 Multiply y * dx dxy(-1x + 3x3 + y) + x2(1 + -1x2) * dy = 0 (-1x * dxy + 3x3 * dxy + y * dxy) + x2(1 + -1x2) * dy = 0 Reorder the terms: (dxy2 + -1dx2y + 3dx4y) + x2(1 + -1x2) * dy = 0 (dxy2 + -1dx2y + 3dx4y) + x2(1 + -1x2) * dy = 0 Reorder the terms for easier multiplication: dxy2 + -1dx2y + 3dx4y + x2 * dy(1 + -1x2) = 0 Multiply x2 * dy dxy2 + -1dx2y + 3dx4y + dx2y(1 + -1x2) = 0 dxy2 + -1dx2y + 3dx4y + (1 * dx2y + -1x2 * dx2y) = 0 dxy2 + -1dx2y + 3dx4y + (1dx2y + -1dx4y) = 0 Reorder the terms: dxy2 + -1dx2y + 1dx2y + 3dx4y + -1dx4y = 0 Combine like terms: -1dx2y + 1dx2y = 0 dxy2 + 0 + 3dx4y + -1dx4y = 0 dxy2 + 3dx4y + -1dx4y = 0 Combine like terms: 3dx4y + -1dx4y = 2dx4y dxy2 + 2dx4y = 0 Solving dxy2 + 2dx4y = 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), 'dxy'. dxy(y + 2x3) = 0Subproblem 1
Set the factor 'dxy' equal to zero and attempt to solve: Simplifying dxy = 0 Solving dxy = 0 Move all terms containing d to the left, all other terms to the right. Simplifying dxy = 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 '(y + 2x3)' equal to zero and attempt to solve: Simplifying y + 2x3 = 0 Reorder the terms: 2x3 + y = 0 Solving 2x3 + y = 0 Move all terms containing d to the left, all other terms to the right. Add '-2x3' to each side of the equation. 2x3 + -2x3 + y = 0 + -2x3 Combine like terms: 2x3 + -2x3 = 0 0 + y = 0 + -2x3 y = 0 + -2x3 Remove the zero: y = -2x3 Add '-1y' to each side of the equation. y + -1y = -2x3 + -1y Combine like terms: y + -1y = 0 0 = -2x3 + -1y Simplifying 0 = -2x3 + -1y 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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