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Simplifying f2 + 24f + 144 = 0 Reorder the terms: 144 + 24f + f2 = 0 Solving 144 + 24f + f2 = 0 Solving for variable 'f'. Factor a trinomial. (12 + f)(12 + f) = 0Subproblem 1
Set the factor '(12 + f)' equal to zero and attempt to solve: Simplifying 12 + f = 0 Solving 12 + f = 0 Move all terms containing f to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + f = 0 + -12 Combine like terms: 12 + -12 = 0 0 + f = 0 + -12 f = 0 + -12 Combine like terms: 0 + -12 = -12 f = -12 Simplifying f = -12Subproblem 2
Set the factor '(12 + f)' equal to zero and attempt to solve: Simplifying 12 + f = 0 Solving 12 + f = 0 Move all terms containing f to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + f = 0 + -12 Combine like terms: 12 + -12 = 0 0 + f = 0 + -12 f = 0 + -12 Combine like terms: 0 + -12 = -12 f = -12 Simplifying f = -12Solution
f = {-12, -12}
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