(3u-27)(u^2+6u-7)=0

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Solution for (3u-27)(u^2+6u-7)=0 equation:


Simplifying
(3u + -27)(u2 + 6u + -7) = 0

Reorder the terms:
(-27 + 3u)(u2 + 6u + -7) = 0

Reorder the terms:
(-27 + 3u)(-7 + 6u + u2) = 0

Multiply (-27 + 3u) * (-7 + 6u + u2)
(-27(-7 + 6u + u2) + 3u * (-7 + 6u + u2)) = 0
((-7 * -27 + 6u * -27 + u2 * -27) + 3u * (-7 + 6u + u2)) = 0
((189 + -162u + -27u2) + 3u * (-7 + 6u + u2)) = 0
(189 + -162u + -27u2 + (-7 * 3u + 6u * 3u + u2 * 3u)) = 0
(189 + -162u + -27u2 + (-21u + 18u2 + 3u3)) = 0

Reorder the terms:
(189 + -162u + -21u + -27u2 + 18u2 + 3u3) = 0

Combine like terms: -162u + -21u = -183u
(189 + -183u + -27u2 + 18u2 + 3u3) = 0

Combine like terms: -27u2 + 18u2 = -9u2
(189 + -183u + -9u2 + 3u3) = 0

Solving
189 + -183u + -9u2 + 3u3 = 0

Solving for variable 'u'.

Factor out the Greatest Common Factor (GCF), '3'.
3(63 + -61u + -3u2 + u3) = 0

Ignore the factor 3.

Subproblem 1

Set the factor '(63 + -61u + -3u2 + u3)' equal to zero and attempt to solve: Simplifying 63 + -61u + -3u2 + u3 = 0 Solving 63 + -61u + -3u2 + 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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