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Simplifying 8u2 + -77u + 45 = 0 Reorder the terms: 45 + -77u + 8u2 = 0 Solving 45 + -77u + 8u2 = 0 Solving for variable 'u'. Factor a trinomial. (5 + -8u)(9 + -1u) = 0Subproblem 1
Set the factor '(5 + -8u)' equal to zero and attempt to solve: Simplifying 5 + -8u = 0 Solving 5 + -8u = 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 + -8u = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -8u = 0 + -5 -8u = 0 + -5 Combine like terms: 0 + -5 = -5 -8u = -5 Divide each side by '-8'. u = 0.625 Simplifying u = 0.625Subproblem 2
Set the factor '(9 + -1u)' equal to zero and attempt to solve: Simplifying 9 + -1u = 0 Solving 9 + -1u = 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 + -1u = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1u = 0 + -9 -1u = 0 + -9 Combine like terms: 0 + -9 = -9 -1u = -9 Divide each side by '-1'. u = 9 Simplifying u = 9Solution
u = {0.625, 9}
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