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Simplifying 3y(x2 + -1) * dx + (x3 + 8 + -3x) * dy = 0 Reorder the terms: 3y(-1 + x2) * dx + (x3 + 8 + -3x) * dy = 0 Reorder the terms for easier multiplication: 3y * dx(-1 + x2) + (x3 + 8 + -3x) * dy = 0 Multiply y * dx 3dxy(-1 + x2) + (x3 + 8 + -3x) * dy = 0 (-1 * 3dxy + x2 * 3dxy) + (x3 + 8 + -3x) * dy = 0 (-3dxy + 3dx3y) + (x3 + 8 + -3x) * dy = 0 Reorder the terms: -3dxy + 3dx3y + (8 + -3x + x3) * dy = 0 Reorder the terms for easier multiplication: -3dxy + 3dx3y + dy(8 + -3x + x3) = 0 -3dxy + 3dx3y + (8 * dy + -3x * dy + x3 * dy) = 0 Reorder the terms: -3dxy + 3dx3y + (-3dxy + dx3y + 8dy) = 0 -3dxy + 3dx3y + (-3dxy + dx3y + 8dy) = 0 Reorder the terms: -3dxy + -3dxy + 3dx3y + dx3y + 8dy = 0 Combine like terms: -3dxy + -3dxy = -6dxy -6dxy + 3dx3y + dx3y + 8dy = 0 Combine like terms: 3dx3y + dx3y = 4dx3y -6dxy + 4dx3y + 8dy = 0 Solving -6dxy + 4dx3y + 8dy = 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), '2dy'. 2dy(-3x + 2x3 + 4) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'dy' equal to zero and attempt to solve: Simplifying dy = 0 Solving dy = 0 Move all terms containing d to the left, all other terms to the right. Simplifying dy = 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 '(-3x + 2x3 + 4)' equal to zero and attempt to solve: Simplifying -3x + 2x3 + 4 = 0 Reorder the terms: 4 + -3x + 2x3 = 0 Solving 4 + -3x + 2x3 = 0 Move all terms containing d to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -3x + -4 + 2x3 = 0 + -4 Reorder the terms: 4 + -4 + -3x + 2x3 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -3x + 2x3 = 0 + -4 -3x + 2x3 = 0 + -4 Combine like terms: 0 + -4 = -4 -3x + 2x3 = -4 Add '3x' to each side of the equation. -3x + 3x + 2x3 = -4 + 3x Combine like terms: -3x + 3x = 0 0 + 2x3 = -4 + 3x 2x3 = -4 + 3x Add '-2x3' to each side of the equation. 2x3 + -2x3 = -4 + 3x + -2x3 Combine like terms: 2x3 + -2x3 = 0 0 = -4 + 3x + -2x3 Simplifying 0 = -4 + 3x + -2x3 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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