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Simplifying f2 + 20 = 9f Reorder the terms: 20 + f2 = 9f Solving 20 + f2 = 9f Solving for variable 'f'. Reorder the terms: 20 + -9f + f2 = 9f + -9f Combine like terms: 9f + -9f = 0 20 + -9f + f2 = 0 Factor a trinomial. (4 + -1f)(5 + -1f) = 0Subproblem 1
Set the factor '(4 + -1f)' equal to zero and attempt to solve: Simplifying 4 + -1f = 0 Solving 4 + -1f = 0 Move all terms containing f to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1f = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1f = 0 + -4 -1f = 0 + -4 Combine like terms: 0 + -4 = -4 -1f = -4 Divide each side by '-1'. f = 4 Simplifying f = 4Subproblem 2
Set the factor '(5 + -1f)' equal to zero and attempt to solve: Simplifying 5 + -1f = 0 Solving 5 + -1f = 0 Move all terms containing f to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1f = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1f = 0 + -5 -1f = 0 + -5 Combine like terms: 0 + -5 = -5 -1f = -5 Divide each side by '-1'. f = 5 Simplifying f = 5Solution
f = {4, 5}
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