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Simplifying b2f2 + 13bf + 40 = 0 Reorder the terms: 40 + 13bf + b2f2 = 0 Solving 40 + 13bf + b2f2 = 0 Solving for variable 'b'. Factor a trinomial. (8 + bf)(5 + bf) = 0Subproblem 1
Set the factor '(8 + bf)' equal to zero and attempt to solve: Simplifying 8 + bf = 0 Solving 8 + bf = 0 Move all terms containing b to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + bf = 0 + -8 Combine like terms: 8 + -8 = 0 0 + bf = 0 + -8 bf = 0 + -8 Combine like terms: 0 + -8 = -8 bf = -8 Divide each side by 'f'. b = -8f-1 Simplifying b = -8f-1Subproblem 2
Set the factor '(5 + bf)' equal to zero and attempt to solve: Simplifying 5 + bf = 0 Solving 5 + bf = 0 Move all terms containing b to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + bf = 0 + -5 Combine like terms: 5 + -5 = 0 0 + bf = 0 + -5 bf = 0 + -5 Combine like terms: 0 + -5 = -5 bf = -5 Divide each side by 'f'. b = -5f-1 Simplifying b = -5f-1Solution
b = {-8f-1, -5f-1}
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