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Simplifying f2 = 10f + -16 Reorder the terms: f2 = -16 + 10f Solving f2 = -16 + 10f Solving for variable 'f'. Reorder the terms: 16 + -10f + f2 = -16 + 10f + 16 + -10f Reorder the terms: 16 + -10f + f2 = -16 + 16 + 10f + -10f Combine like terms: -16 + 16 = 0 16 + -10f + f2 = 0 + 10f + -10f 16 + -10f + f2 = 10f + -10f Combine like terms: 10f + -10f = 0 16 + -10f + f2 = 0 Factor a trinomial. (2 + -1f)(8 + -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 '(8 + -1f)' equal to zero and attempt to solve: Simplifying 8 + -1f = 0 Solving 8 + -1f = 0 Move all terms containing f to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1f = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1f = 0 + -8 -1f = 0 + -8 Combine like terms: 0 + -8 = -8 -1f = -8 Divide each side by '-1'. f = 8 Simplifying f = 8Solution
f = {2, 8}
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