(u^2+3uv+7v^2)(3u+3v)=

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Solution for (u^2+3uv+7v^2)(3u+3v)= equation:


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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