(6u+6)(u^2+5u-14)=0

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Solution for (6u+6)(u^2+5u-14)=0 equation:


Simplifying
(6u + 6)(u2 + 5u + -14) = 0

Reorder the terms:
(6 + 6u)(u2 + 5u + -14) = 0

Reorder the terms:
(6 + 6u)(-14 + 5u + u2) = 0

Multiply (6 + 6u) * (-14 + 5u + u2)
(6(-14 + 5u + u2) + 6u * (-14 + 5u + u2)) = 0
((-14 * 6 + 5u * 6 + u2 * 6) + 6u * (-14 + 5u + u2)) = 0
((-84 + 30u + 6u2) + 6u * (-14 + 5u + u2)) = 0
(-84 + 30u + 6u2 + (-14 * 6u + 5u * 6u + u2 * 6u)) = 0
(-84 + 30u + 6u2 + (-84u + 30u2 + 6u3)) = 0

Reorder the terms:
(-84 + 30u + -84u + 6u2 + 30u2 + 6u3) = 0

Combine like terms: 30u + -84u = -54u
(-84 + -54u + 6u2 + 30u2 + 6u3) = 0

Combine like terms: 6u2 + 30u2 = 36u2
(-84 + -54u + 36u2 + 6u3) = 0

Solving
-84 + -54u + 36u2 + 6u3 = 0

Solving for variable 'u'.

Factor out the Greatest Common Factor (GCF), '6'.
6(-14 + -9u + 6u2 + u3) = 0

Ignore the factor 6.

Subproblem 1

Set the factor '(-14 + -9u + 6u2 + u3)' equal to zero and attempt to solve: Simplifying -14 + -9u + 6u2 + u3 = 0 Solving -14 + -9u + 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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