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Simplifying (6y + -24xy5) * dx + (9x + -56x2y4) * dy = 0 Reorder the terms: (-24xy5 + 6y) * dx + (9x + -56x2y4) * dy = 0 Reorder the terms for easier multiplication: dx(-24xy5 + 6y) + (9x + -56x2y4) * dy = 0 (-24xy5 * dx + 6y * dx) + (9x + -56x2y4) * dy = 0 Reorder the terms: (6dxy + -24dx2y5) + (9x + -56x2y4) * dy = 0 (6dxy + -24dx2y5) + (9x + -56x2y4) * dy = 0 Reorder the terms for easier multiplication: 6dxy + -24dx2y5 + dy(9x + -56x2y4) = 0 6dxy + -24dx2y5 + (9x * dy + -56x2y4 * dy) = 0 6dxy + -24dx2y5 + (9dxy + -56dx2y5) = 0 Reorder the terms: 6dxy + 9dxy + -24dx2y5 + -56dx2y5 = 0 Combine like terms: 6dxy + 9dxy = 15dxy 15dxy + -24dx2y5 + -56dx2y5 = 0 Combine like terms: -24dx2y5 + -56dx2y5 = -80dx2y5 15dxy + -80dx2y5 = 0 Solving 15dxy + -80dx2y5 = 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), '5dxy'. 5dxy(3 + -16xy4) = 0 Ignore the factor 5.Subproblem 1
Set the factor 'dxy' equal to zero and attempt to solve: Simplifying dxy = 0 Solving dxy = 0 Move all terms containing d to the left, all other terms to the right. Simplifying dxy = 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 '(3 + -16xy4)' equal to zero and attempt to solve: Simplifying 3 + -16xy4 = 0 Solving 3 + -16xy4 = 0 Move all terms containing d to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -16xy4 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -16xy4 = 0 + -3 -16xy4 = 0 + -3 Combine like terms: 0 + -3 = -3 -16xy4 = -3 Add '16xy4' to each side of the equation. -16xy4 + 16xy4 = -3 + 16xy4 Combine like terms: -16xy4 + 16xy4 = 0 0 = -3 + 16xy4 Simplifying 0 = -3 + 16xy4 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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