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Simplifying b2 + 13bf + 40f2 = 0 Reorder the terms: 13bf + b2 + 40f2 = 0 Solving 13bf + b2 + 40f2 = 0 Solving for variable 'b'. Factor a trinomial. (b + 5f)(b + 8f) = 0Subproblem 1
Set the factor '(b + 5f)' equal to zero and attempt to solve: Simplifying b + 5f = 0 Solving b + 5f = 0 Move all terms containing b to the left, all other terms to the right. Add '-5f' to each side of the equation. b + 5f + -5f = 0 + -5f Combine like terms: 5f + -5f = 0 b + 0 = 0 + -5f b = 0 + -5f Remove the zero: b = -5f Simplifying b = -5fSubproblem 2
Set the factor '(b + 8f)' equal to zero and attempt to solve: Simplifying b + 8f = 0 Solving b + 8f = 0 Move all terms containing b to the left, all other terms to the right. Add '-8f' to each side of the equation. b + 8f + -8f = 0 + -8f Combine like terms: 8f + -8f = 0 b + 0 = 0 + -8f b = 0 + -8f Remove the zero: b = -8f Simplifying b = -8fSolution
b = {-5f, -8f}
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