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Simplifying 16f = -64 + -1f2 Solving 16f = -64 + -1f2 Solving for variable 'f'. Reorder the terms: 64 + 16f + f2 = -64 + -1f2 + 64 + f2 Reorder the terms: 64 + 16f + f2 = -64 + 64 + -1f2 + f2 Combine like terms: -64 + 64 = 0 64 + 16f + f2 = 0 + -1f2 + f2 64 + 16f + f2 = -1f2 + f2 Combine like terms: -1f2 + f2 = 0 64 + 16f + f2 = 0 Factor a trinomial. (8 + f)(8 + 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 '(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 = -8Solution
f = {-8, -8}
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