(5u+20)(u^2-8u+12)=0

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Solution for (5u+20)(u^2-8u+12)=0 equation:


Simplifying
(5u + 20)(u2 + -8u + 12) = 0

Reorder the terms:
(20 + 5u)(u2 + -8u + 12) = 0

Reorder the terms:
(20 + 5u)(12 + -8u + u2) = 0

Multiply (20 + 5u) * (12 + -8u + u2)
(20(12 + -8u + u2) + 5u * (12 + -8u + u2)) = 0
((12 * 20 + -8u * 20 + u2 * 20) + 5u * (12 + -8u + u2)) = 0
((240 + -160u + 20u2) + 5u * (12 + -8u + u2)) = 0
(240 + -160u + 20u2 + (12 * 5u + -8u * 5u + u2 * 5u)) = 0
(240 + -160u + 20u2 + (60u + -40u2 + 5u3)) = 0

Reorder the terms:
(240 + -160u + 60u + 20u2 + -40u2 + 5u3) = 0

Combine like terms: -160u + 60u = -100u
(240 + -100u + 20u2 + -40u2 + 5u3) = 0

Combine like terms: 20u2 + -40u2 = -20u2
(240 + -100u + -20u2 + 5u3) = 0

Solving
240 + -100u + -20u2 + 5u3 = 0

Solving for variable 'u'.

Factor out the Greatest Common Factor (GCF), '5'.
5(48 + -20u + -4u2 + u3) = 0

Ignore the factor 5.

Subproblem 1

Set the factor '(48 + -20u + -4u2 + u3)' equal to zero and attempt to solve: Simplifying 48 + -20u + -4u2 + u3 = 0 Solving 48 + -20u + -4u2 + 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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