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Simplifying b2 + 10bf + 24f2 = 0 Reorder the terms: 10bf + b2 + 24f2 = 0 Solving 10bf + b2 + 24f2 = 0 Solving for variable 'b'. Factor a trinomial. (b + 4f)(b + 6f) = 0Subproblem 1
Set the factor '(b + 4f)' equal to zero and attempt to solve: Simplifying b + 4f = 0 Solving b + 4f = 0 Move all terms containing b to the left, all other terms to the right. Add '-4f' to each side of the equation. b + 4f + -4f = 0 + -4f Combine like terms: 4f + -4f = 0 b + 0 = 0 + -4f b = 0 + -4f Remove the zero: b = -4f Simplifying b = -4fSubproblem 2
Set the factor '(b + 6f)' equal to zero and attempt to solve: Simplifying b + 6f = 0 Solving b + 6f = 0 Move all terms containing b to the left, all other terms to the right. Add '-6f' to each side of the equation. b + 6f + -6f = 0 + -6f Combine like terms: 6f + -6f = 0 b + 0 = 0 + -6f b = 0 + -6f Remove the zero: b = -6f Simplifying b = -6fSolution
b = {-4f, -6f}
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