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Simplifying u(2uv2 + -3) * du + (3u2v2 + -3u + 4v) * dv = 0 Reorder the terms: u(-3 + 2uv2) * du + (3u2v2 + -3u + 4v) * dv = 0 Reorder the terms for easier multiplication: u * du(-3 + 2uv2) + (3u2v2 + -3u + 4v) * dv = 0 Multiply u * du du2(-3 + 2uv2) + (3u2v2 + -3u + 4v) * dv = 0 (-3 * du2 + 2uv2 * du2) + (3u2v2 + -3u + 4v) * dv = 0 (-3du2 + 2du3v2) + (3u2v2 + -3u + 4v) * dv = 0 Reorder the terms: -3du2 + 2du3v2 + (-3u + 3u2v2 + 4v) * dv = 0 Reorder the terms for easier multiplication: -3du2 + 2du3v2 + dv(-3u + 3u2v2 + 4v) = 0 -3du2 + 2du3v2 + (-3u * dv + 3u2v2 * dv + 4v * dv) = 0 -3du2 + 2du3v2 + (-3duv + 3du2v3 + 4dv2) = 0 Reorder the terms: -3duv + -3du2 + 3du2v3 + 2du3v2 + 4dv2 = 0 Solving -3duv + -3du2 + 3du2v3 + 2du3v2 + 4dv2 = 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), 'd'. d(-3uv + -3u2 + 3u2v3 + 2u3v2 + 4v2) = 0Subproblem 1
Set the factor 'd' equal to zero and attempt to solve: Simplifying d = 0 Solving d = 0 Move all terms containing d to the left, all other terms to the right. Simplifying d = 0Subproblem 2
Set the factor '(-3uv + -3u2 + 3u2v3 + 2u3v2 + 4v2)' equal to zero and attempt to solve: Simplifying -3uv + -3u2 + 3u2v3 + 2u3v2 + 4v2 = 0 Solving -3uv + -3u2 + 3u2v3 + 2u3v2 + 4v2 = 0 Move all terms containing d to the left, all other terms to the right. Add '3uv' to each side of the equation. -3uv + -3u2 + 3u2v3 + 2u3v2 + 3uv + 4v2 = 0 + 3uv Reorder the terms: -3uv + 3uv + -3u2 + 3u2v3 + 2u3v2 + 4v2 = 0 + 3uv Combine like terms: -3uv + 3uv = 0 0 + -3u2 + 3u2v3 + 2u3v2 + 4v2 = 0 + 3uv -3u2 + 3u2v3 + 2u3v2 + 4v2 = 0 + 3uv Remove the zero: -3u2 + 3u2v3 + 2u3v2 + 4v2 = 3uv Add '3u2' to each side of the equation. -3u2 + 3u2v3 + 2u3v2 + 3u2 + 4v2 = 3uv + 3u2 Reorder the terms: -3u2 + 3u2 + 3u2v3 + 2u3v2 + 4v2 = 3uv + 3u2 Combine like terms: -3u2 + 3u2 = 0 0 + 3u2v3 + 2u3v2 + 4v2 = 3uv + 3u2 3u2v3 + 2u3v2 + 4v2 = 3uv + 3u2 Add '-3u2v3' to each side of the equation. 3u2v3 + 2u3v2 + -3u2v3 + 4v2 = 3uv + 3u2 + -3u2v3 Reorder the terms: 3u2v3 + -3u2v3 + 2u3v2 + 4v2 = 3uv + 3u2 + -3u2v3 Combine like terms: 3u2v3 + -3u2v3 = 0 0 + 2u3v2 + 4v2 = 3uv + 3u2 + -3u2v3 2u3v2 + 4v2 = 3uv + 3u2 + -3u2v3 Add '-2u3v2' to each side of the equation. 2u3v2 + -2u3v2 + 4v2 = 3uv + 3u2 + -3u2v3 + -2u3v2 Combine like terms: 2u3v2 + -2u3v2 = 0 0 + 4v2 = 3uv + 3u2 + -3u2v3 + -2u3v2 4v2 = 3uv + 3u2 + -3u2v3 + -2u3v2 Add '-4v2' to each side of the equation. 4v2 + -4v2 = 3uv + 3u2 + -3u2v3 + -2u3v2 + -4v2 Combine like terms: 4v2 + -4v2 = 0 0 = 3uv + 3u2 + -3u2v3 + -2u3v2 + -4v2 Simplifying 0 = 3uv + 3u2 + -3u2v3 + -2u3v2 + -4v2 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
d = {0}
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