(u^2-8u+12)(9u+27)=0

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Solution for (u^2-8u+12)(9u+27)=0 equation: 


Simplifying
(u2 + -8u + 12)(9u + 27) = 0

Reorder the terms:
(12 + -8u + u2)(9u + 27) = 0

Reorder the terms:
(12 + -8u + u2)(27 + 9u) = 0

Multiply (12 + -8u + u2) * (27 + 9u)
(12(27 + 9u) + -8u * (27 + 9u) + u2(27 + 9u)) = 0
((27 * 12 + 9u * 12) + -8u * (27 + 9u) + u2(27 + 9u)) = 0
((324 + 108u) + -8u * (27 + 9u) + u2(27 + 9u)) = 0
(324 + 108u + (27 * -8u + 9u * -8u) + u2(27 + 9u)) = 0
(324 + 108u + (-216u + -72u2) + u2(27 + 9u)) = 0
(324 + 108u + -216u + -72u2 + (27 * u2 + 9u * u2)) = 0
(324 + 108u + -216u + -72u2 + (27u2 + 9u3)) = 0

Combine like terms: 108u + -216u = -108u
(324 + -108u + -72u2 + 27u2 + 9u3) = 0

Combine like terms: -72u2 + 27u2 = -45u2
(324 + -108u + -45u2 + 9u3) = 0

Solving
324 + -108u + -45u2 + 9u3 = 0

Solving for variable 'u'.

Factor out the Greatest Common Factor (GCF), '9'.
9(36 + -12u + -5u2 + u3) = 0

Ignore the factor 9.

Subproblem 1
Set the factor '(36 + -12u + -5u2 + u3)' equal to zero and attempt to solve:

Simplifying
36 + -12u + -5u2 + u3 = 0

Solving
36 + -12u + -5u2 + u3 = 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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