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Simplifying x2dy + (3xy + -1) * dx = 0 Reorder the terms: dx2y + (-1 + 3xy) * dx = 0 Reorder the terms for easier multiplication: dx2y + dx(-1 + 3xy) = 0 dx2y + (-1 * dx + 3xy * dx) = 0 dx2y + (-1dx + 3dx2y) = 0 Reorder the terms: -1dx + dx2y + 3dx2y = 0 Combine like terms: dx2y + 3dx2y = 4dx2y -1dx + 4dx2y = 0 Solving -1dx + 4dx2y = 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(-1 + 4xy) = 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 '(-1 + 4xy)' equal to zero and attempt to solve: Simplifying -1 + 4xy = 0 Solving -1 + 4xy = 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 + 4xy = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 4xy = 0 + 1 4xy = 0 + 1 Combine like terms: 0 + 1 = 1 4xy = 1 Add '-4xy' to each side of the equation. 4xy + -4xy = 1 + -4xy Combine like terms: 4xy + -4xy = 0 0 = 1 + -4xy Simplifying 0 = 1 + -4xy 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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