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Simplifying b2 + 4bf + -45f2 = 0 Reorder the terms: 4bf + b2 + -45f2 = 0 Solving 4bf + b2 + -45f2 = 0 Solving for variable 'b'. Factor a trinomial. (b + -5f)(b + 9f) = 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 + 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 = {5f, -9f}
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