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Simplifying 9u2 + -14u + 5 = 0 Reorder the terms: 5 + -14u + 9u2 = 0 Solving 5 + -14u + 9u2 = 0 Solving for variable 'u'. Factor a trinomial. (5 + -9u)(1 + -1u) = 0Subproblem 1
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 = 0.5555555556Subproblem 2
Set the factor '(1 + -1u)' equal to zero and attempt to solve: Simplifying 1 + -1u = 0 Solving 1 + -1u = 0 Move all terms containing u to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1u = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1u = 0 + -1 -1u = 0 + -1 Combine like terms: 0 + -1 = -1 -1u = -1 Divide each side by '-1'. u = 1 Simplifying u = 1Solution
u = {0.5555555556, 1}
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