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

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


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

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

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

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

Reorder the terms:
(-60 + 48u + -30u + 12u2 + 24u2 + 6u3) = 0

Combine like terms: 48u + -30u = 18u
(-60 + 18u + 12u2 + 24u2 + 6u3) = 0

Combine like terms: 12u2 + 24u2 = 36u2
(-60 + 18u + 36u2 + 6u3) = 0

Solving
-60 + 18u + 36u2 + 6u3 = 0

Solving for variable 'u'.

Factor out the Greatest Common Factor (GCF), '6'.
6(-10 + 3u + 6u2 + u3) = 0

Ignore the factor 6.

Subproblem 1

Set the factor '(-10 + 3u + 6u2 + u3)' equal to zero and attempt to solve: Simplifying -10 + 3u + 6u2 + u3 = 0 Solving -10 + 3u + 6u2 + 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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