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Simplifying (x2y2 + 4xy) * dx + (x3y + 4x2) * dy = 0 Reorder the terms: (4xy + x2y2) * dx + (x3y + 4x2) * dy = 0 Reorder the terms for easier multiplication: dx(4xy + x2y2) + (x3y + 4x2) * dy = 0 (4xy * dx + x2y2 * dx) + (x3y + 4x2) * dy = 0 (4dx2y + dx3y2) + (x3y + 4x2) * dy = 0 Reorder the terms: 4dx2y + dx3y2 + (4x2 + x3y) * dy = 0 Reorder the terms for easier multiplication: 4dx2y + dx3y2 + dy(4x2 + x3y) = 0 4dx2y + dx3y2 + (4x2 * dy + x3y * dy) = 0 4dx2y + dx3y2 + (4dx2y + dx3y2) = 0 Reorder the terms: 4dx2y + 4dx2y + dx3y2 + dx3y2 = 0 Combine like terms: 4dx2y + 4dx2y = 8dx2y 8dx2y + dx3y2 + dx3y2 = 0 Combine like terms: dx3y2 + dx3y2 = 2dx3y2 8dx2y + 2dx3y2 = 0 Solving 8dx2y + 2dx3y2 = 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), '2dx2y'. 2dx2y(4 + xy) = 0 Ignore the factor 2.Subproblem 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 '(4 + xy)' equal to zero and attempt to solve: Simplifying 4 + xy = 0 Solving 4 + xy = 0 Move all terms containing d to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + xy = 0 + -4 Combine like terms: 4 + -4 = 0 0 + xy = 0 + -4 xy = 0 + -4 Combine like terms: 0 + -4 = -4 xy = -4 Add '-1xy' to each side of the equation. xy + -1xy = -4 + -1xy Combine like terms: xy + -1xy = 0 0 = -4 + -1xy Simplifying 0 = -4 + -1xy 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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