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Simplifying b2 + -8bf + 15f2 = 0 Reorder the terms: -8bf + b2 + 15f2 = 0 Solving -8bf + b2 + 15f2 = 0 Solving for variable 'b'. Factor a trinomial. (b + -5f)(b + -3f) = 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 + -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 = 3fSolution
b = {5f, 3f}
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