(u^2-4u-5)(6u+12)=0

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Solution for (u^2-4u-5)(6u+12)=0 equation: 


Simplifying
(u2 + -4u + -5)(6u + 12) = 0

Reorder the terms:
(-5 + -4u + u2)(6u + 12) = 0

Reorder the terms:
(-5 + -4u + u2)(12 + 6u) = 0

Multiply (-5 + -4u + u2) * (12 + 6u)
(-5(12 + 6u) + -4u * (12 + 6u) + u2(12 + 6u)) = 0
((12 * -5 + 6u * -5) + -4u * (12 + 6u) + u2(12 + 6u)) = 0
((-60 + -30u) + -4u * (12 + 6u) + u2(12 + 6u)) = 0
(-60 + -30u + (12 * -4u + 6u * -4u) + u2(12 + 6u)) = 0
(-60 + -30u + (-48u + -24u2) + u2(12 + 6u)) = 0
(-60 + -30u + -48u + -24u2 + (12 * u2 + 6u * u2)) = 0
(-60 + -30u + -48u + -24u2 + (12u2 + 6u3)) = 0

Combine like terms: -30u + -48u = -78u
(-60 + -78u + -24u2 + 12u2 + 6u3) = 0

Combine like terms: -24u2 + 12u2 = -12u2
(-60 + -78u + -12u2 + 6u3) = 0

Solving
-60 + -78u + -12u2 + 6u3 = 0

Solving for variable 'u'.

Factor out the Greatest Common Factor (GCF), '6'.
6(-10 + -13u + -2u2 + u3) = 0

Ignore the factor 6.

Subproblem 1
Set the factor '(-10 + -13u + -2u2 + u3)' equal to zero and attempt to solve:

Simplifying
-10 + -13u + -2u2 + u3 = 0

Solving
-10 + -13u + -2u2 + 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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