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Simplifying 39u2 + -92u + 45 = 0 Reorder the terms: 45 + -92u + 39u2 = 0 Solving 45 + -92u + 39u2 = 0 Solving for variable 'u'. Factor a trinomial. (9 + -13u)(5 + -3u) = 0Subproblem 1
Set the factor '(9 + -13u)' equal to zero and attempt to solve: Simplifying 9 + -13u = 0 Solving 9 + -13u = 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 + -13u = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -13u = 0 + -9 -13u = 0 + -9 Combine like terms: 0 + -9 = -9 -13u = -9 Divide each side by '-13'. u = 0.6923076923 Simplifying u = 0.6923076923Subproblem 2
Set the factor '(5 + -3u)' equal to zero and attempt to solve: Simplifying 5 + -3u = 0 Solving 5 + -3u = 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 + -3u = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -3u = 0 + -5 -3u = 0 + -5 Combine like terms: 0 + -5 = -5 -3u = -5 Divide each side by '-3'. u = 1.666666667 Simplifying u = 1.666666667Solution
u = {0.6923076923, 1.666666667}
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