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Simplifying 3u4 + 33u2 + 54 = 0 Reorder the terms: 54 + 33u2 + 3u4 = 0 Solving 54 + 33u2 + 3u4 = 0 Solving for variable 'u'. Factor out the Greatest Common Factor (GCF), '3'. 3(18 + 11u2 + u4) = 0 Factor a trinomial. 3((9 + u2)(2 + u2)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(9 + u2)' equal to zero and attempt to solve: Simplifying 9 + u2 = 0 Solving 9 + u2 = 0 Move all terms containing u to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + u2 = 0 + -9 Combine like terms: 9 + -9 = 0 0 + u2 = 0 + -9 u2 = 0 + -9 Combine like terms: 0 + -9 = -9 u2 = -9 Simplifying u2 = -9 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(2 + u2)' equal to zero and attempt to solve: Simplifying 2 + u2 = 0 Solving 2 + u2 = 0 Move all terms containing u to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + u2 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + u2 = 0 + -2 u2 = 0 + -2 Combine like terms: 0 + -2 = -2 u2 = -2 Simplifying u2 = -2 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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