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Simplifying (3x2 + -1xy) * dx + (2x3y2 + x3y4) * dy = 0 Reorder the terms: (-1xy + 3x2) * dx + (2x3y2 + x3y4) * dy = 0 Reorder the terms for easier multiplication: dx(-1xy + 3x2) + (2x3y2 + x3y4) * dy = 0 (-1xy * dx + 3x2 * dx) + (2x3y2 + x3y4) * dy = 0 (-1dx2y + 3dx3) + (2x3y2 + x3y4) * dy = 0 Reorder the terms for easier multiplication: -1dx2y + 3dx3 + dy(2x3y2 + x3y4) = 0 -1dx2y + 3dx3 + (2x3y2 * dy + x3y4 * dy) = 0 -1dx2y + 3dx3 + (2dx3y3 + dx3y5) = 0 Solving -1dx2y + 3dx3 + 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), 'dx2'. dx2(-1y + 3x + 2xy3 + xy5) = 0Subproblem 1
Set the factor 'dx2' equal to zero and attempt to solve: Simplifying dx2 = 0 Solving dx2 = 0 Move all terms containing d to the left, all other terms to the right. Simplifying dx2 = 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 '(-1y + 3x + 2xy3 + xy5)' equal to zero and attempt to solve: Simplifying -1y + 3x + 2xy3 + xy5 = 0 Reorder the terms: 3x + 2xy3 + xy5 + -1y = 0 Solving 3x + 2xy3 + xy5 + -1y = 0 Move all terms containing d to the left, all other terms to the right. Add '-3x' to each side of the equation. 3x + 2xy3 + xy5 + -3x + -1y = 0 + -3x Reorder the terms: 3x + -3x + 2xy3 + xy5 + -1y = 0 + -3x Combine like terms: 3x + -3x = 0 0 + 2xy3 + xy5 + -1y = 0 + -3x 2xy3 + xy5 + -1y = 0 + -3x Remove the zero: 2xy3 + xy5 + -1y = -3x Add '-2xy3' to each side of the equation. 2xy3 + xy5 + -2xy3 + -1y = -3x + -2xy3 Reorder the terms: 2xy3 + -2xy3 + xy5 + -1y = -3x + -2xy3 Combine like terms: 2xy3 + -2xy3 = 0 0 + xy5 + -1y = -3x + -2xy3 xy5 + -1y = -3x + -2xy3 Add '-1xy5' to each side of the equation. xy5 + -1xy5 + -1y = -3x + -2xy3 + -1xy5 Combine like terms: xy5 + -1xy5 = 0 0 + -1y = -3x + -2xy3 + -1xy5 -1y = -3x + -2xy3 + -1xy5 Add 'y' to each side of the equation. -1y + y = -3x + -2xy3 + -1xy5 + y Combine like terms: -1y + y = 0 0 = -3x + -2xy3 + -1xy5 + y Simplifying 0 = -3x + -2xy3 + -1xy5 + y 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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