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Simplifying f2 + 18f + 17 = 0 Reorder the terms: 17 + 18f + f2 = 0 Solving 17 + 18f + f2 = 0 Solving for variable 'f'. Factor a trinomial. (17 + f)(1 + f) = 0Subproblem 1
Set the factor '(17 + f)' equal to zero and attempt to solve: Simplifying 17 + f = 0 Solving 17 + f = 0 Move all terms containing f to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + f = 0 + -17 Combine like terms: 17 + -17 = 0 0 + f = 0 + -17 f = 0 + -17 Combine like terms: 0 + -17 = -17 f = -17 Simplifying f = -17Subproblem 2
Set the factor '(1 + f)' equal to zero and attempt to solve: Simplifying 1 + f = 0 Solving 1 + f = 0 Move all terms containing f to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + f = 0 + -1 Combine like terms: 1 + -1 = 0 0 + f = 0 + -1 f = 0 + -1 Combine like terms: 0 + -1 = -1 f = -1 Simplifying f = -1Solution
f = {-17, -1}
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