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Simplifying f2 + 18f + 81 = 0 Reorder the terms: 81 + 18f + f2 = 0 Solving 81 + 18f + f2 = 0 Solving for variable 'f'. Factor a trinomial. (9 + f)(9 + f) = 0Subproblem 1
Set the factor '(9 + f)' equal to zero and attempt to solve: Simplifying 9 + f = 0 Solving 9 + f = 0 Move all terms containing f to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + f = 0 + -9 Combine like terms: 9 + -9 = 0 0 + f = 0 + -9 f = 0 + -9 Combine like terms: 0 + -9 = -9 f = -9 Simplifying f = -9Subproblem 2
Set the factor '(9 + f)' equal to zero and attempt to solve: Simplifying 9 + f = 0 Solving 9 + f = 0 Move all terms containing f to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + f = 0 + -9 Combine like terms: 9 + -9 = 0 0 + f = 0 + -9 f = 0 + -9 Combine like terms: 0 + -9 = -9 f = -9 Simplifying f = -9Solution
f = {-9, -9}
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