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Simplifying b2 + 6bf + -27f2 = 0 Reorder the terms: 6bf + b2 + -27f2 = 0 Solving 6bf + b2 + -27f2 = 0 Solving for variable 'b'. Factor a trinomial. (b + -3f)(b + 9f) = 0Subproblem 1
Set the factor '(b + -3f)' equal to zero and attempt to solve: Simplifying b + -3f = 0 Solving b + -3f = 0 Move all terms containing b to the left, all other terms to the right. Add '3f' to each side of the equation. b + -3f + 3f = 0 + 3f Combine like terms: -3f + 3f = 0 b + 0 = 0 + 3f b = 0 + 3f Remove the zero: b = 3f Simplifying b = 3fSubproblem 2
Set the factor '(b + 9f)' equal to zero and attempt to solve: Simplifying b + 9f = 0 Solving b + 9f = 0 Move all terms containing b to the left, all other terms to the right. Add '-9f' to each side of the equation. b + 9f + -9f = 0 + -9f Combine like terms: 9f + -9f = 0 b + 0 = 0 + -9f b = 0 + -9f Remove the zero: b = -9f Simplifying b = -9fSolution
b = {3f, -9f}
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