(u^2-8u+12)(7u+21)=0

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Solution for (u^2-8u+12)(7u+21)=0 equation: 


Simplifying
(u2 + -8u + 12)(7u + 21) = 0

Reorder the terms:
(12 + -8u + u2)(7u + 21) = 0

Reorder the terms:
(12 + -8u + u2)(21 + 7u) = 0

Multiply (12 + -8u + u2) * (21 + 7u)
(12(21 + 7u) + -8u * (21 + 7u) + u2(21 + 7u)) = 0
((21 * 12 + 7u * 12) + -8u * (21 + 7u) + u2(21 + 7u)) = 0
((252 + 84u) + -8u * (21 + 7u) + u2(21 + 7u)) = 0
(252 + 84u + (21 * -8u + 7u * -8u) + u2(21 + 7u)) = 0
(252 + 84u + (-168u + -56u2) + u2(21 + 7u)) = 0
(252 + 84u + -168u + -56u2 + (21 * u2 + 7u * u2)) = 0
(252 + 84u + -168u + -56u2 + (21u2 + 7u3)) = 0

Combine like terms: 84u + -168u = -84u
(252 + -84u + -56u2 + 21u2 + 7u3) = 0

Combine like terms: -56u2 + 21u2 = -35u2
(252 + -84u + -35u2 + 7u3) = 0

Solving
252 + -84u + -35u2 + 7u3 = 0

Solving for variable 'u'.

Factor out the Greatest Common Factor (GCF), '7'.
7(36 + -12u + -5u2 + u3) = 0

Ignore the factor 7.

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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