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Simplifying (3x2 + 2y) * dx + (x2y + -1x) * dy = 0 Reorder the terms for easier multiplication: dx(3x2 + 2y) + (x2y + -1x) * dy = 0 (3x2 * dx + 2y * dx) + (x2y + -1x) * dy = 0 Reorder the terms: (2dxy + 3dx3) + (x2y + -1x) * dy = 0 (2dxy + 3dx3) + (x2y + -1x) * dy = 0 Reorder the terms: 2dxy + 3dx3 + (-1x + x2y) * dy = 0 Reorder the terms for easier multiplication: 2dxy + 3dx3 + dy(-1x + x2y) = 0 2dxy + 3dx3 + (-1x * dy + x2y * dy) = 0 2dxy + 3dx3 + (-1dxy + dx2y2) = 0 Reorder the terms: 2dxy + -1dxy + dx2y2 + 3dx3 = 0 Combine like terms: 2dxy + -1dxy = 1dxy 1dxy + dx2y2 + 3dx3 = 0 Solving 1dxy + dx2y2 + 3dx3 = 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(y + xy2 + 3x2) = 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 '(y + xy2 + 3x2)' equal to zero and attempt to solve: Simplifying y + xy2 + 3x2 = 0 Reorder the terms: xy2 + 3x2 + y = 0 Solving xy2 + 3x2 + y = 0 Move all terms containing d to the left, all other terms to the right. Add '-1xy2' to each side of the equation. xy2 + 3x2 + -1xy2 + y = 0 + -1xy2 Reorder the terms: xy2 + -1xy2 + 3x2 + y = 0 + -1xy2 Combine like terms: xy2 + -1xy2 = 0 0 + 3x2 + y = 0 + -1xy2 3x2 + y = 0 + -1xy2 Remove the zero: 3x2 + y = -1xy2 Add '-3x2' to each side of the equation. 3x2 + -3x2 + y = -1xy2 + -3x2 Combine like terms: 3x2 + -3x2 = 0 0 + y = -1xy2 + -3x2 y = -1xy2 + -3x2 Add '-1y' to each side of the equation. y + -1y = -1xy2 + -3x2 + -1y Combine like terms: y + -1y = 0 0 = -1xy2 + -3x2 + -1y Simplifying 0 = -1xy2 + -3x2 + -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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