(u^2-4u-21)(3u+12)=0

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Solution for (u^2-4u-21)(3u+12)=0 equation:


Simplifying
(u2 + -4u + -21)(3u + 12) = 0

Reorder the terms:
(-21 + -4u + u2)(3u + 12) = 0

Reorder the terms:
(-21 + -4u + u2)(12 + 3u) = 0

Multiply (-21 + -4u + u2) * (12 + 3u)
(-21(12 + 3u) + -4u * (12 + 3u) + u2(12 + 3u)) = 0
((12 * -21 + 3u * -21) + -4u * (12 + 3u) + u2(12 + 3u)) = 0
((-252 + -63u) + -4u * (12 + 3u) + u2(12 + 3u)) = 0
(-252 + -63u + (12 * -4u + 3u * -4u) + u2(12 + 3u)) = 0
(-252 + -63u + (-48u + -12u2) + u2(12 + 3u)) = 0
(-252 + -63u + -48u + -12u2 + (12 * u2 + 3u * u2)) = 0
(-252 + -63u + -48u + -12u2 + (12u2 + 3u3)) = 0

Combine like terms: -63u + -48u = -111u
(-252 + -111u + -12u2 + 12u2 + 3u3) = 0

Combine like terms: -12u2 + 12u2 = 0
(-252 + -111u + 0 + 3u3) = 0
(-252 + -111u + 3u3) = 0

Solving
-252 + -111u + 3u3 = 0

Solving for variable 'u'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-84 + -37u + u3) = 0

Ignore the factor 3.

Subproblem 1

Set the factor '(-84 + -37u + u3)' equal to zero and attempt to solve: Simplifying -84 + -37u + u3 = 0 Solving -84 + -37u + 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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