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Simplifying f2 + 8f + 16 = 0 Reorder the terms: 16 + 8f + f2 = 0 Solving 16 + 8f + f2 = 0 Solving for variable 'f'. Factor a trinomial. (4 + f)(4 + f) = 0Subproblem 1
Set the factor '(4 + f)' equal to zero and attempt to solve: Simplifying 4 + f = 0 Solving 4 + f = 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 + f = 0 + -4 Combine like terms: 4 + -4 = 0 0 + f = 0 + -4 f = 0 + -4 Combine like terms: 0 + -4 = -4 f = -4 Simplifying f = -4Subproblem 2
Set the factor '(4 + f)' equal to zero and attempt to solve: Simplifying 4 + f = 0 Solving 4 + f = 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 + f = 0 + -4 Combine like terms: 4 + -4 = 0 0 + f = 0 + -4 f = 0 + -4 Combine like terms: 0 + -4 = -4 f = -4 Simplifying f = -4Solution
f = {-4, -4}
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