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Simplifying f2 = 11f + -18 Reorder the terms: f2 = -18 + 11f Solving f2 = -18 + 11f Solving for variable 'f'. Reorder the terms: 18 + -11f + f2 = -18 + 11f + 18 + -11f Reorder the terms: 18 + -11f + f2 = -18 + 18 + 11f + -11f Combine like terms: -18 + 18 = 0 18 + -11f + f2 = 0 + 11f + -11f 18 + -11f + f2 = 11f + -11f Combine like terms: 11f + -11f = 0 18 + -11f + f2 = 0 Factor a trinomial. (2 + -1f)(9 + -1f) = 0Subproblem 1
Set the factor '(2 + -1f)' equal to zero and attempt to solve: Simplifying 2 + -1f = 0 Solving 2 + -1f = 0 Move all terms containing f to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1f = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1f = 0 + -2 -1f = 0 + -2 Combine like terms: 0 + -2 = -2 -1f = -2 Divide each side by '-1'. f = 2 Simplifying f = 2Subproblem 2
Set the factor '(9 + -1f)' equal to zero and attempt to solve: Simplifying 9 + -1f = 0 Solving 9 + -1f = 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 + -1f = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1f = 0 + -9 -1f = 0 + -9 Combine like terms: 0 + -9 = -9 -1f = -9 Divide each side by '-1'. f = 9 Simplifying f = 9Solution
f = {2, 9}
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