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Simplifying (u2 + 3uv + 7v2)(3u + 3v) = 0 Reorder the terms: (3uv + u2 + 7v2)(3u + 3v) = 0 Multiply (3uv + u2 + 7v2) * (3u + 3v) (3uv * (3u + 3v) + u2(3u + 3v) + 7v2 * (3u + 3v)) = 0 ((3u * 3uv + 3v * 3uv) + u2(3u + 3v) + 7v2 * (3u + 3v)) = 0 Reorder the terms: ((9uv2 + 9u2v) + u2(3u + 3v) + 7v2 * (3u + 3v)) = 0 ((9uv2 + 9u2v) + u2(3u + 3v) + 7v2 * (3u + 3v)) = 0 (9uv2 + 9u2v + (3u * u2 + 3v * u2) + 7v2 * (3u + 3v)) = 0 Reorder the terms: (9uv2 + 9u2v + (3u2v + 3u3) + 7v2 * (3u + 3v)) = 0 (9uv2 + 9u2v + (3u2v + 3u3) + 7v2 * (3u + 3v)) = 0 (9uv2 + 9u2v + 3u2v + 3u3 + (3u * 7v2 + 3v * 7v2)) = 0 (9uv2 + 9u2v + 3u2v + 3u3 + (21uv2 + 21v3)) = 0 Reorder the terms: (9uv2 + 21uv2 + 9u2v + 3u2v + 3u3 + 21v3) = 0 Combine like terms: 9uv2 + 21uv2 = 30uv2 (30uv2 + 9u2v + 3u2v + 3u3 + 21v3) = 0 Combine like terms: 9u2v + 3u2v = 12u2v (30uv2 + 12u2v + 3u3 + 21v3) = 0 Solving 30uv2 + 12u2v + 3u3 + 21v3 = 0 Solving for variable 'u'. Factor out the Greatest Common Factor (GCF), '3'. 3(10uv2 + 4u2v + u3 + 7v3) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(10uv2 + 4u2v + u3 + 7v3)' equal to zero and attempt to solve: Simplifying 10uv2 + 4u2v + u3 + 7v3 = 0 Solving 10uv2 + 4u2v + u3 + 7v3 = 0 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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