(7u-21)(u^2+2u-3)=0

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Solution for (7u-21)(u^2+2u-3)=0 equation:


Simplifying
(7u + -21)(u2 + 2u + -3) = 0

Reorder the terms:
(-21 + 7u)(u2 + 2u + -3) = 0

Reorder the terms:
(-21 + 7u)(-3 + 2u + u2) = 0

Multiply (-21 + 7u) * (-3 + 2u + u2)
(-21(-3 + 2u + u2) + 7u * (-3 + 2u + u2)) = 0
((-3 * -21 + 2u * -21 + u2 * -21) + 7u * (-3 + 2u + u2)) = 0
((63 + -42u + -21u2) + 7u * (-3 + 2u + u2)) = 0
(63 + -42u + -21u2 + (-3 * 7u + 2u * 7u + u2 * 7u)) = 0
(63 + -42u + -21u2 + (-21u + 14u2 + 7u3)) = 0

Reorder the terms:
(63 + -42u + -21u + -21u2 + 14u2 + 7u3) = 0

Combine like terms: -42u + -21u = -63u
(63 + -63u + -21u2 + 14u2 + 7u3) = 0

Combine like terms: -21u2 + 14u2 = -7u2
(63 + -63u + -7u2 + 7u3) = 0

Solving
63 + -63u + -7u2 + 7u3 = 0

Solving for variable 'u'.

Factor out the Greatest Common Factor (GCF), '7'.
7(9 + -9u + -1u2 + u3) = 0

Ignore the factor 7.

Subproblem 1

Set the factor '(9 + -9u + -1u2 + u3)' equal to zero and attempt to solve: Simplifying 9 + -9u + -1u2 + u3 = 0 Solving 9 + -9u + -1u2 + 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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