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Simplifying f2 + 10f + 16 = 0 Reorder the terms: 16 + 10f + f2 = 0 Solving 16 + 10f + f2 = 0 Solving for variable 'f'. Factor a trinomial. (8 + f)(2 + f) = 0Subproblem 1
Set the factor '(8 + f)' equal to zero and attempt to solve: Simplifying 8 + f = 0 Solving 8 + f = 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 + f = 0 + -8 Combine like terms: 8 + -8 = 0 0 + f = 0 + -8 f = 0 + -8 Combine like terms: 0 + -8 = -8 f = -8 Simplifying f = -8Subproblem 2
Set the factor '(2 + f)' equal to zero and attempt to solve: Simplifying 2 + f = 0 Solving 2 + f = 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 + f = 0 + -2 Combine like terms: 2 + -2 = 0 0 + f = 0 + -2 f = 0 + -2 Combine like terms: 0 + -2 = -2 f = -2 Simplifying f = -2Solution
f = {-8, -2}
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