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Simplifying (xy2 + 3xy) * dx + -1dy = 0 Reorder the terms: (3xy + xy2) * dx + -1dy = 0 Reorder the terms for easier multiplication: dx(3xy + xy2) + -1dy = 0 (3xy * dx + xy2 * dx) + -1dy = 0 (3dx2y + dx2y2) + -1dy = 0 Solving 3dx2y + dx2y2 + -1dy = 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), 'dy'. dy(3x2 + x2y + -1) = 0Subproblem 1
Set the factor 'dy' equal to zero and attempt to solve: Simplifying dy = 0 Solving dy = 0 Move all terms containing d to the left, all other terms to the right. Simplifying dy = 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 '(3x2 + x2y + -1)' equal to zero and attempt to solve: Simplifying 3x2 + x2y + -1 = 0 Reorder the terms: -1 + 3x2 + x2y = 0 Solving -1 + 3x2 + x2y = 0 Move all terms containing d to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 3x2 + 1 + x2y = 0 + 1 Reorder the terms: -1 + 1 + 3x2 + x2y = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 3x2 + x2y = 0 + 1 3x2 + x2y = 0 + 1 Combine like terms: 0 + 1 = 1 3x2 + x2y = 1 Add '-3x2' to each side of the equation. 3x2 + -3x2 + x2y = 1 + -3x2 Combine like terms: 3x2 + -3x2 = 0 0 + x2y = 1 + -3x2 x2y = 1 + -3x2 Add '-1x2y' to each side of the equation. x2y + -1x2y = 1 + -3x2 + -1x2y Combine like terms: x2y + -1x2y = 0 0 = 1 + -3x2 + -1x2y Simplifying 0 = 1 + -3x2 + -1x2y 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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