(u^2+6u+5)(6u-36)=0

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Solution for (u^2+6u+5)(6u-36)=0 equation:


Simplifying
(u2 + 6u + 5)(6u + -36) = 0

Reorder the terms:
(5 + 6u + u2)(6u + -36) = 0

Reorder the terms:
(5 + 6u + u2)(-36 + 6u) = 0

Multiply (5 + 6u + u2) * (-36 + 6u)
(5(-36 + 6u) + 6u * (-36 + 6u) + u2(-36 + 6u)) = 0
((-36 * 5 + 6u * 5) + 6u * (-36 + 6u) + u2(-36 + 6u)) = 0
((-180 + 30u) + 6u * (-36 + 6u) + u2(-36 + 6u)) = 0
(-180 + 30u + (-36 * 6u + 6u * 6u) + u2(-36 + 6u)) = 0
(-180 + 30u + (-216u + 36u2) + u2(-36 + 6u)) = 0
(-180 + 30u + -216u + 36u2 + (-36 * u2 + 6u * u2)) = 0
(-180 + 30u + -216u + 36u2 + (-36u2 + 6u3)) = 0

Combine like terms: 30u + -216u = -186u
(-180 + -186u + 36u2 + -36u2 + 6u3) = 0

Combine like terms: 36u2 + -36u2 = 0
(-180 + -186u + 0 + 6u3) = 0
(-180 + -186u + 6u3) = 0

Solving
-180 + -186u + 6u3 = 0

Solving for variable 'u'.

Factor out the Greatest Common Factor (GCF), '6'.
6(-30 + -31u + u3) = 0

Ignore the factor 6.

Subproblem 1

Set the factor '(-30 + -31u + u3)' equal to zero and attempt to solve: Simplifying -30 + -31u + u3 = 0 Solving -30 + -31u + 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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