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Simplifying (2x3 + -1xy2 + -2y + 3) * dx + -1(x2y + 2x) * dy = 0 Reorder the terms: (3 + -1xy2 + 2x3 + -2y) * dx + -1(x2y + 2x) * dy = 0 Reorder the terms for easier multiplication: dx(3 + -1xy2 + 2x3 + -2y) + -1(x2y + 2x) * dy = 0 (3 * dx + -1xy2 * dx + 2x3 * dx + -2y * dx) + -1(x2y + 2x) * dy = 0 Reorder the terms: (3dx + -2dxy + -1dx2y2 + 2dx4) + -1(x2y + 2x) * dy = 0 (3dx + -2dxy + -1dx2y2 + 2dx4) + -1(x2y + 2x) * dy = 0 Reorder the terms: 3dx + -2dxy + -1dx2y2 + 2dx4 + -1(2x + x2y) * dy = 0 Reorder the terms for easier multiplication: 3dx + -2dxy + -1dx2y2 + 2dx4 + -1dy(2x + x2y) = 0 3dx + -2dxy + -1dx2y2 + 2dx4 + (2x * -1dy + x2y * -1dy) = 0 3dx + -2dxy + -1dx2y2 + 2dx4 + (-2dxy + -1dx2y2) = 0 Reorder the terms: 3dx + -2dxy + -2dxy + -1dx2y2 + -1dx2y2 + 2dx4 = 0 Combine like terms: -2dxy + -2dxy = -4dxy 3dx + -4dxy + -1dx2y2 + -1dx2y2 + 2dx4 = 0 Combine like terms: -1dx2y2 + -1dx2y2 = -2dx2y2 3dx + -4dxy + -2dx2y2 + 2dx4 = 0 Solving 3dx + -4dxy + -2dx2y2 + 2dx4 = 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(3 + -4y + -2xy2 + 2x3) = 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 '(3 + -4y + -2xy2 + 2x3)' equal to zero and attempt to solve: Simplifying 3 + -4y + -2xy2 + 2x3 = 0 Reorder the terms: 3 + -2xy2 + 2x3 + -4y = 0 Solving 3 + -2xy2 + 2x3 + -4y = 0 Move all terms containing d to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -2xy2 + 2x3 + -3 + -4y = 0 + -3 Reorder the terms: 3 + -3 + -2xy2 + 2x3 + -4y = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2xy2 + 2x3 + -4y = 0 + -3 -2xy2 + 2x3 + -4y = 0 + -3 Combine like terms: 0 + -3 = -3 -2xy2 + 2x3 + -4y = -3 Add '2xy2' to each side of the equation. -2xy2 + 2x3 + 2xy2 + -4y = -3 + 2xy2 Reorder the terms: -2xy2 + 2xy2 + 2x3 + -4y = -3 + 2xy2 Combine like terms: -2xy2 + 2xy2 = 0 0 + 2x3 + -4y = -3 + 2xy2 2x3 + -4y = -3 + 2xy2 Add '-2x3' to each side of the equation. 2x3 + -2x3 + -4y = -3 + 2xy2 + -2x3 Combine like terms: 2x3 + -2x3 = 0 0 + -4y = -3 + 2xy2 + -2x3 -4y = -3 + 2xy2 + -2x3 Add '4y' to each side of the equation. -4y + 4y = -3 + 2xy2 + -2x3 + 4y Combine like terms: -4y + 4y = 0 0 = -3 + 2xy2 + -2x3 + 4y Simplifying 0 = -3 + 2xy2 + -2x3 + 4y 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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