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Simplifying u2 + -27u + 176 = 0 Reorder the terms: 176 + -27u + u2 = 0 Solving 176 + -27u + u2 = 0 Solving for variable 'u'. Factor a trinomial. (11 + -1u)(16 + -1u) = 0Subproblem 1
Set the factor '(11 + -1u)' equal to zero and attempt to solve: Simplifying 11 + -1u = 0 Solving 11 + -1u = 0 Move all terms containing u to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + -1u = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -1u = 0 + -11 -1u = 0 + -11 Combine like terms: 0 + -11 = -11 -1u = -11 Divide each side by '-1'. u = 11 Simplifying u = 11Subproblem 2
Set the factor '(16 + -1u)' equal to zero and attempt to solve: Simplifying 16 + -1u = 0 Solving 16 + -1u = 0 Move all terms containing u to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + -1u = 0 + -16 Combine like terms: 16 + -16 = 0 0 + -1u = 0 + -16 -1u = 0 + -16 Combine like terms: 0 + -16 = -16 -1u = -16 Divide each side by '-1'. u = 16 Simplifying u = 16Solution
u = {11, 16}
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