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Simplifying b2 + -9bf + 18f2 = 0 Reorder the terms: -9bf + b2 + 18f2 = 0 Solving -9bf + b2 + 18f2 = 0 Solving for variable 'b'. Factor a trinomial. (b + -6f)(b + -3f) = 0Subproblem 1
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 = 6fSubproblem 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 = {6f, 3f}
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