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Simplifying (3x2y + -1xy) * dx + (2x3y2 + x3y4) * dy = 0 Reorder the terms: (-1xy + 3x2y) * dx + (2x3y2 + x3y4) * dy = 0 Reorder the terms for easier multiplication: dx(-1xy + 3x2y) + (2x3y2 + x3y4) * dy = 0 (-1xy * dx + 3x2y * dx) + (2x3y2 + x3y4) * dy = 0 (-1dx2y + 3dx3y) + (2x3y2 + x3y4) * dy = 0 Reorder the terms for easier multiplication: -1dx2y + 3dx3y + dy(2x3y2 + x3y4) = 0 -1dx2y + 3dx3y + (2x3y2 * dy + x3y4 * dy) = 0 -1dx2y + 3dx3y + (2dx3y3 + dx3y5) = 0 Solving -1dx2y + 3dx3y + 2dx3y3 + dx3y5 = 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 + 3x + 2xy2 + xy4) = 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 + 3x + 2xy2 + xy4)' equal to zero and attempt to solve: Simplifying -1 + 3x + 2xy2 + xy4 = 0 Solving -1 + 3x + 2xy2 + xy4 = 0 Move all terms containing d to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 3x + 2xy2 + 1 + xy4 = 0 + 1 Reorder the terms: -1 + 1 + 3x + 2xy2 + xy4 = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 3x + 2xy2 + xy4 = 0 + 1 3x + 2xy2 + xy4 = 0 + 1 Combine like terms: 0 + 1 = 1 3x + 2xy2 + xy4 = 1 Add '-3x' to each side of the equation. 3x + 2xy2 + -3x + xy4 = 1 + -3x Reorder the terms: 3x + -3x + 2xy2 + xy4 = 1 + -3x Combine like terms: 3x + -3x = 0 0 + 2xy2 + xy4 = 1 + -3x 2xy2 + xy4 = 1 + -3x Add '-2xy2' to each side of the equation. 2xy2 + -2xy2 + xy4 = 1 + -3x + -2xy2 Combine like terms: 2xy2 + -2xy2 = 0 0 + xy4 = 1 + -3x + -2xy2 xy4 = 1 + -3x + -2xy2 Add '-1xy4' to each side of the equation. xy4 + -1xy4 = 1 + -3x + -2xy2 + -1xy4 Combine like terms: xy4 + -1xy4 = 0 0 = 1 + -3x + -2xy2 + -1xy4 Simplifying 0 = 1 + -3x + -2xy2 + -1xy4 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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