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Simplifying b2 + -1bf + -210f2 = 0 Reorder the terms: -1bf + b2 + -210f2 = 0 Solving -1bf + b2 + -210f2 = 0 Solving for variable 'b'. Factor a trinomial. (b + -15f)(b + 14f) = 0Subproblem 1
Set the factor '(b + -15f)' equal to zero and attempt to solve: Simplifying b + -15f = 0 Solving b + -15f = 0 Move all terms containing b to the left, all other terms to the right. Add '15f' to each side of the equation. b + -15f + 15f = 0 + 15f Combine like terms: -15f + 15f = 0 b + 0 = 0 + 15f b = 0 + 15f Remove the zero: b = 15f Simplifying b = 15fSubproblem 2
Set the factor '(b + 14f)' equal to zero and attempt to solve: Simplifying b + 14f = 0 Solving b + 14f = 0 Move all terms containing b to the left, all other terms to the right. Add '-14f' to each side of the equation. b + 14f + -14f = 0 + -14f Combine like terms: 14f + -14f = 0 b + 0 = 0 + -14f b = 0 + -14f Remove the zero: b = -14f Simplifying b = -14fSolution
b = {15f, -14f}
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