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Simplifying u2 + 18u + 17 = 0 Reorder the terms: 17 + 18u + u2 = 0 Solving 17 + 18u + u2 = 0 Solving for variable 'u'. Factor a trinomial. (17 + u)(1 + u) = 0Subproblem 1
Set the factor '(17 + u)' equal to zero and attempt to solve: Simplifying 17 + u = 0 Solving 17 + u = 0 Move all terms containing u to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + u = 0 + -17 Combine like terms: 17 + -17 = 0 0 + u = 0 + -17 u = 0 + -17 Combine like terms: 0 + -17 = -17 u = -17 Simplifying u = -17Subproblem 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 = {-17, -1}
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