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Simplifying (3x2y + -3y) * dx + (x3 + -3x + 2y) * dy = 0 Reorder the terms for easier multiplication: dx(3x2y + -3y) + (x3 + -3x + 2y) * dy = 0 (3x2y * dx + -3y * dx) + (x3 + -3x + 2y) * dy = 0 Reorder the terms: (-3dxy + 3dx3y) + (x3 + -3x + 2y) * dy = 0 (-3dxy + 3dx3y) + (x3 + -3x + 2y) * dy = 0 Reorder the terms: -3dxy + 3dx3y + (-3x + x3 + 2y) * dy = 0 Reorder the terms for easier multiplication: -3dxy + 3dx3y + dy(-3x + x3 + 2y) = 0 -3dxy + 3dx3y + (-3x * dy + x3 * dy + 2y * dy) = 0 -3dxy + 3dx3y + (-3dxy + dx3y + 2dy2) = 0 Reorder the terms: -3dxy + -3dxy + 3dx3y + dx3y + 2dy2 = 0 Combine like terms: -3dxy + -3dxy = -6dxy -6dxy + 3dx3y + dx3y + 2dy2 = 0 Combine like terms: 3dx3y + dx3y = 4dx3y -6dxy + 4dx3y + 2dy2 = 0 Solving -6dxy + 4dx3y + 2dy2 = 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 + y) = 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 + y)' equal to zero and attempt to solve: Simplifying -3x + 2x3 + y = 0 Solving -3x + 2x3 + y = 0 Move all terms containing d to the left, all other terms to the right. Add '3x' to each side of the equation. -3x + 2x3 + 3x + y = 0 + 3x Reorder the terms: -3x + 3x + 2x3 + y = 0 + 3x Combine like terms: -3x + 3x = 0 0 + 2x3 + y = 0 + 3x 2x3 + y = 0 + 3x Remove the zero: 2x3 + y = 3x Add '-2x3' to each side of the equation. 2x3 + -2x3 + y = 3x + -2x3 Combine like terms: 2x3 + -2x3 = 0 0 + y = 3x + -2x3 y = 3x + -2x3 Add '-1y' to each side of the equation. y + -1y = 3x + -2x3 + -1y Combine like terms: y + -1y = 0 0 = 3x + -2x3 + -1y Simplifying 0 = 3x + -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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