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Simplifying f2 + 12f + 20 = 0 Reorder the terms: 20 + 12f + f2 = 0 Solving 20 + 12f + f2 = 0 Solving for variable 'f'. Factor a trinomial. (10 + f)(2 + f) = 0Subproblem 1
Set the factor '(10 + f)' equal to zero and attempt to solve: Simplifying 10 + f = 0 Solving 10 + f = 0 Move all terms containing f to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + f = 0 + -10 Combine like terms: 10 + -10 = 0 0 + f = 0 + -10 f = 0 + -10 Combine like terms: 0 + -10 = -10 f = -10 Simplifying f = -10Subproblem 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 = {-10, -2}
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