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Simplifying b2 + 18bf + 77f2 = 0 Reorder the terms: 18bf + b2 + 77f2 = 0 Solving 18bf + b2 + 77f2 = 0 Solving for variable 'b'. Factor a trinomial. (b + 7f)(b + 11f) = 0Subproblem 1
Set the factor '(b + 7f)' equal to zero and attempt to solve: Simplifying b + 7f = 0 Solving b + 7f = 0 Move all terms containing b to the left, all other terms to the right. Add '-7f' to each side of the equation. b + 7f + -7f = 0 + -7f Combine like terms: 7f + -7f = 0 b + 0 = 0 + -7f b = 0 + -7f Remove the zero: b = -7f Simplifying b = -7fSubproblem 2
Set the factor '(b + 11f)' equal to zero and attempt to solve: Simplifying b + 11f = 0 Solving b + 11f = 0 Move all terms containing b to the left, all other terms to the right. Add '-11f' to each side of the equation. b + 11f + -11f = 0 + -11f Combine like terms: 11f + -11f = 0 b + 0 = 0 + -11f b = 0 + -11f Remove the zero: b = -11f Simplifying b = -11fSolution
b = {-7f, -11f}
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