(u^2-10u+21)(4u+24)=0

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Solution for (u^2-10u+21)(4u+24)=0 equation: 


Simplifying
(u2 + -10u + 21)(4u + 24) = 0

Reorder the terms:
(21 + -10u + u2)(4u + 24) = 0

Reorder the terms:
(21 + -10u + u2)(24 + 4u) = 0

Multiply (21 + -10u + u2) * (24 + 4u)
(21(24 + 4u) + -10u * (24 + 4u) + u2(24 + 4u)) = 0
((24 * 21 + 4u * 21) + -10u * (24 + 4u) + u2(24 + 4u)) = 0
((504 + 84u) + -10u * (24 + 4u) + u2(24 + 4u)) = 0
(504 + 84u + (24 * -10u + 4u * -10u) + u2(24 + 4u)) = 0
(504 + 84u + (-240u + -40u2) + u2(24 + 4u)) = 0
(504 + 84u + -240u + -40u2 + (24 * u2 + 4u * u2)) = 0
(504 + 84u + -240u + -40u2 + (24u2 + 4u3)) = 0

Combine like terms: 84u + -240u = -156u
(504 + -156u + -40u2 + 24u2 + 4u3) = 0

Combine like terms: -40u2 + 24u2 = -16u2
(504 + -156u + -16u2 + 4u3) = 0

Solving
504 + -156u + -16u2 + 4u3 = 0

Solving for variable 'u'.

Factor out the Greatest Common Factor (GCF), '4'.
4(126 + -39u + -4u2 + u3) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(126 + -39u + -4u2 + u3)' equal to zero and attempt to solve:

Simplifying
126 + -39u + -4u2 + u3 = 0

Solving
126 + -39u + -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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