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Simplifying f2 + -6f + 5 = 0 Reorder the terms: 5 + -6f + f2 = 0 Solving 5 + -6f + f2 = 0 Solving for variable 'f'. Factor a trinomial. (1 + -1f)(5 + -1f) = 0Subproblem 1
Set the factor '(1 + -1f)' equal to zero and attempt to solve: Simplifying 1 + -1f = 0 Solving 1 + -1f = 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 + -1f = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1f = 0 + -1 -1f = 0 + -1 Combine like terms: 0 + -1 = -1 -1f = -1 Divide each side by '-1'. f = 1 Simplifying f = 1Subproblem 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 = {1, 5}
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