(u^2-7u+12)(6u+18)=0

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Solution for (u^2-7u+12)(6u+18)=0 equation: 


Simplifying
(u2 + -7u + 12)(6u + 18) = 0

Reorder the terms:
(12 + -7u + u2)(6u + 18) = 0

Reorder the terms:
(12 + -7u + u2)(18 + 6u) = 0

Multiply (12 + -7u + u2) * (18 + 6u)
(12(18 + 6u) + -7u * (18 + 6u) + u2(18 + 6u)) = 0
((18 * 12 + 6u * 12) + -7u * (18 + 6u) + u2(18 + 6u)) = 0
((216 + 72u) + -7u * (18 + 6u) + u2(18 + 6u)) = 0
(216 + 72u + (18 * -7u + 6u * -7u) + u2(18 + 6u)) = 0
(216 + 72u + (-126u + -42u2) + u2(18 + 6u)) = 0
(216 + 72u + -126u + -42u2 + (18 * u2 + 6u * u2)) = 0
(216 + 72u + -126u + -42u2 + (18u2 + 6u3)) = 0

Combine like terms: 72u + -126u = -54u
(216 + -54u + -42u2 + 18u2 + 6u3) = 0

Combine like terms: -42u2 + 18u2 = -24u2
(216 + -54u + -24u2 + 6u3) = 0

Solving
216 + -54u + -24u2 + 6u3 = 0

Solving for variable 'u'.

Factor out the Greatest Common Factor (GCF), '6'.
6(36 + -9u + -4u2 + u3) = 0

Ignore the factor 6.

Subproblem 1
Set the factor '(36 + -9u + -4u2 + u3)' equal to zero and attempt to solve:

Simplifying
36 + -9u + -4u2 + u3 = 0

Solving
36 + -9u + -4u2 + 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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