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Simplifying u2 + 14u + 13 = 0 Reorder the terms: 13 + 14u + u2 = 0 Solving 13 + 14u + u2 = 0 Solving for variable 'u'. Factor a trinomial. (13 + u)(1 + u) = 0Subproblem 1
Set the factor '(13 + u)' equal to zero and attempt to solve: Simplifying 13 + u = 0 Solving 13 + u = 0 Move all terms containing u to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + u = 0 + -13 Combine like terms: 13 + -13 = 0 0 + u = 0 + -13 u = 0 + -13 Combine like terms: 0 + -13 = -13 u = -13 Simplifying u = -13Subproblem 2
Set the factor '(1 + u)' equal to zero and attempt to solve: Simplifying 1 + u = 0 Solving 1 + u = 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 + u = 0 + -1 Combine like terms: 1 + -1 = 0 0 + u = 0 + -1 u = 0 + -1 Combine like terms: 0 + -1 = -1 u = -1 Simplifying u = -1Solution
u = {-13, -1}
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