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Simplifying u2 + 11u + 30 = 0 Reorder the terms: 30 + 11u + u2 = 0 Solving 30 + 11u + u2 = 0 Solving for variable 'u'. Factor a trinomial. (6 + u)(5 + u) = 0Subproblem 1
Set the factor '(6 + u)' equal to zero and attempt to solve: Simplifying 6 + u = 0 Solving 6 + u = 0 Move all terms containing u to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + u = 0 + -6 Combine like terms: 6 + -6 = 0 0 + u = 0 + -6 u = 0 + -6 Combine like terms: 0 + -6 = -6 u = -6 Simplifying u = -6Subproblem 2
Set the factor '(5 + u)' equal to zero and attempt to solve: Simplifying 5 + u = 0 Solving 5 + u = 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 + u = 0 + -5 Combine like terms: 5 + -5 = 0 0 + u = 0 + -5 u = 0 + -5 Combine like terms: 0 + -5 = -5 u = -5 Simplifying u = -5Solution
u = {-6, -5}
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