(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 = 252u
(-252 + 252u + -56u2 + -21u2 + 7u3) = 0

Combine like terms: -56u2 + -21u2 = -77u2
(-252 + 252u + -77u2 + 7u3) = 0

Solving
-252 + 252u + -77u2 + 7u3 = 0

Solving for variable 'u'.

Factor out the Greatest Common Factor (GCF), '7'.
7(-36 + 36u + -11u2 + u3) = 0

Ignore the factor 7.

Subproblem 1
Set the factor '(-36 + 36u + -11u2 + u3)' equal to zero and attempt to solve:

Simplifying
-36 + 36u + -11u2 + u3 = 0

Solving
-36 + 36u + -11u2 + 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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