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Simplifying (6y + -24xy5) * dx + (4x + -56x2 * y4) * dy = 0 Reorder the terms: (-24xy5 + 6y) * dx + (4x + -56x2 * y4) * dy = 0 Reorder the terms for easier multiplication: dx(-24xy5 + 6y) + (4x + -56x2 * y4) * dy = 0 (-24xy5 * dx + 6y * dx) + (4x + -56x2 * y4) * dy = 0 Reorder the terms: (6dxy + -24dx2y5) + (4x + -56x2 * y4) * dy = 0 (6dxy + -24dx2y5) + (4x + -56x2 * y4) * dy = 0 Multiply x2 * y4 6dxy + -24dx2y5 + (4x + -56x2y4) * dy = 0 Reorder the terms for easier multiplication: 6dxy + -24dx2y5 + dy(4x + -56x2y4) = 0 6dxy + -24dx2y5 + (4x * dy + -56x2y4 * dy) = 0 6dxy + -24dx2y5 + (4dxy + -56dx2y5) = 0 Reorder the terms: 6dxy + 4dxy + -24dx2y5 + -56dx2y5 = 0 Combine like terms: 6dxy + 4dxy = 10dxy 10dxy + -24dx2y5 + -56dx2y5 = 0 Combine like terms: -24dx2y5 + -56dx2y5 = -80dx2y5 10dxy + -80dx2y5 = 0 Solving 10dxy + -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), '10dxy'. 10dxy(1 + -8xy4) = 0 Ignore the factor 10.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 '(1 + -8xy4)' equal to zero and attempt to solve: Simplifying 1 + -8xy4 = 0 Solving 1 + -8xy4 = 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 + -8xy4 = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -8xy4 = 0 + -1 -8xy4 = 0 + -1 Combine like terms: 0 + -1 = -1 -8xy4 = -1 Add '8xy4' to each side of the equation. -8xy4 + 8xy4 = -1 + 8xy4 Combine like terms: -8xy4 + 8xy4 = 0 0 = -1 + 8xy4 Simplifying 0 = -1 + 8xy4 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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