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Simplifying 27u2 + 21u + -20 = 0 Reorder the terms: -20 + 21u + 27u2 = 0 Solving -20 + 21u + 27u2 = 0 Solving for variable 'u'. Factor a trinomial. (-4 + -3u)(5 + -9u) = 0Subproblem 1
Set the factor '(-4 + -3u)' equal to zero and attempt to solve: Simplifying -4 + -3u = 0 Solving -4 + -3u = 0 Move all terms containing u to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -3u = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -3u = 0 + 4 -3u = 0 + 4 Combine like terms: 0 + 4 = 4 -3u = 4 Divide each side by '-3'. u = -1.333333333 Simplifying u = -1.333333333Subproblem 2
Set the factor '(5 + -9u)' equal to zero and attempt to solve: Simplifying 5 + -9u = 0 Solving 5 + -9u = 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 + -9u = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -9u = 0 + -5 -9u = 0 + -5 Combine like terms: 0 + -5 = -5 -9u = -5 Divide each side by '-9'. u = 0.5555555556 Simplifying u = 0.5555555556Solution
u = {-1.333333333, 0.5555555556}
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