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Simplifying (3x2y4 + 2xy) * dx + (2x3y3 + -1x2) * dy = 0 Reorder the terms: (2xy + 3x2y4) * dx + (2x3y3 + -1x2) * dy = 0 Reorder the terms for easier multiplication: dx(2xy + 3x2y4) + (2x3y3 + -1x2) * dy = 0 (2xy * dx + 3x2y4 * dx) + (2x3y3 + -1x2) * dy = 0 (2dx2y + 3dx3y4) + (2x3y3 + -1x2) * dy = 0 Reorder the terms: 2dx2y + 3dx3y4 + (-1x2 + 2x3y3) * dy = 0 Reorder the terms for easier multiplication: 2dx2y + 3dx3y4 + dy(-1x2 + 2x3y3) = 0 2dx2y + 3dx3y4 + (-1x2 * dy + 2x3y3 * dy) = 0 2dx2y + 3dx3y4 + (-1dx2y + 2dx3y4) = 0 Reorder the terms: 2dx2y + -1dx2y + 3dx3y4 + 2dx3y4 = 0 Combine like terms: 2dx2y + -1dx2y = 1dx2y 1dx2y + 3dx3y4 + 2dx3y4 = 0 Combine like terms: 3dx3y4 + 2dx3y4 = 5dx3y4 1dx2y + 5dx3y4 = 0 Solving 1dx2y + 5dx3y4 = 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), 'dx2y'. dx2y(1 + 5xy3) = 0Subproblem 1
Set the factor 'dx2y' equal to zero and attempt to solve: Simplifying dx2y = 0 Solving dx2y = 0 Move all terms containing d to the left, all other terms to the right. Simplifying dx2y = 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 '(1 + 5xy3)' equal to zero and attempt to solve: Simplifying 1 + 5xy3 = 0 Solving 1 + 5xy3 = 0 Move all terms containing d to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 5xy3 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 5xy3 = 0 + -1 5xy3 = 0 + -1 Combine like terms: 0 + -1 = -1 5xy3 = -1 Add '-5xy3' to each side of the equation. 5xy3 + -5xy3 = -1 + -5xy3 Combine like terms: 5xy3 + -5xy3 = 0 0 = -1 + -5xy3 Simplifying 0 = -1 + -5xy3 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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