(u^2+3u-28)(6u-18)=0

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Solution for (u^2+3u-28)(6u-18)=0 equation:


Simplifying
(u2 + 3u + -28)(6u + -18) = 0

Reorder the terms:
(-28 + 3u + u2)(6u + -18) = 0

Reorder the terms:
(-28 + 3u + u2)(-18 + 6u) = 0

Multiply (-28 + 3u + u2) * (-18 + 6u)
(-28(-18 + 6u) + 3u * (-18 + 6u) + u2(-18 + 6u)) = 0
((-18 * -28 + 6u * -28) + 3u * (-18 + 6u) + u2(-18 + 6u)) = 0
((504 + -168u) + 3u * (-18 + 6u) + u2(-18 + 6u)) = 0
(504 + -168u + (-18 * 3u + 6u * 3u) + u2(-18 + 6u)) = 0
(504 + -168u + (-54u + 18u2) + u2(-18 + 6u)) = 0
(504 + -168u + -54u + 18u2 + (-18 * u2 + 6u * u2)) = 0
(504 + -168u + -54u + 18u2 + (-18u2 + 6u3)) = 0

Combine like terms: -168u + -54u = -222u
(504 + -222u + 18u2 + -18u2 + 6u3) = 0

Combine like terms: 18u2 + -18u2 = 0
(504 + -222u + 0 + 6u3) = 0
(504 + -222u + 6u3) = 0

Solving
504 + -222u + 6u3 = 0

Solving for variable 'u'.

Factor out the Greatest Common Factor (GCF), '6'.
6(84 + -37u + u3) = 0

Ignore the factor 6.

Subproblem 1

Set the factor '(84 + -37u + u3)' equal to zero and attempt to solve: Simplifying 84 + -37u + u3 = 0 Solving 84 + -37u + 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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