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Simplifying 24u5 + 66u4 + 45u3 = 0 Reorder the terms: 45u3 + 66u4 + 24u5 = 0 Solving 45u3 + 66u4 + 24u5 = 0 Solving for variable 'u'. Factor out the Greatest Common Factor (GCF), '3u3'. 3u3(15 + 22u + 8u2) = 0 Factor a trinomial. 3u3((3 + 2u)(5 + 4u)) = 0 Ignore the factor 3.Subproblem 1
Set the factor 'u3' equal to zero and attempt to solve: Simplifying u3 = 0 Solving u3 = 0 Move all terms containing u to the left, all other terms to the right. Simplifying u3 = 0 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 '(3 + 2u)' equal to zero and attempt to solve: Simplifying 3 + 2u = 0 Solving 3 + 2u = 0 Move all terms containing u to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 2u = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 2u = 0 + -3 2u = 0 + -3 Combine like terms: 0 + -3 = -3 2u = -3 Divide each side by '2'. u = -1.5 Simplifying u = -1.5Subproblem 3
Set the factor '(5 + 4u)' equal to zero and attempt to solve: Simplifying 5 + 4u = 0 Solving 5 + 4u = 0 Move all terms containing u to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 4u = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 4u = 0 + -5 4u = 0 + -5 Combine like terms: 0 + -5 = -5 4u = -5 Divide each side by '4'. u = -1.25 Simplifying u = -1.25Solution
u = {-1.5, -1.25}
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