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Simplifying b2 + -2bf + -63f2 = 0 Reorder the terms: -2bf + b2 + -63f2 = 0 Solving -2bf + b2 + -63f2 = 0 Solving for variable 'b'. Factor a trinomial. (b + -9f)(b + 7f) = 0Subproblem 1
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 = 9fSubproblem 2
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 = -7fSolution
b = {9f, -7f}
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