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Simplifying 9b2 + 30bf + 25f2 = 0 Reorder the terms: 30bf + 9b2 + 25f2 = 0 Solving 30bf + 9b2 + 25f2 = 0 Solving for variable 'b'. Factor a trinomial. (3b + 5f)(3b + 5f) = 0Subproblem 1
Set the factor '(3b + 5f)' equal to zero and attempt to solve: Simplifying 3b + 5f = 0 Solving 3b + 5f = 0 Move all terms containing b to the left, all other terms to the right. Add '-5f' to each side of the equation. 3b + 5f + -5f = 0 + -5f Combine like terms: 5f + -5f = 0 3b + 0 = 0 + -5f 3b = 0 + -5f Remove the zero: 3b = -5f Divide each side by '3'. b = -1.666666667f Simplifying b = -1.666666667fSubproblem 2
Set the factor '(3b + 5f)' equal to zero and attempt to solve: Simplifying 3b + 5f = 0 Solving 3b + 5f = 0 Move all terms containing b to the left, all other terms to the right. Add '-5f' to each side of the equation. 3b + 5f + -5f = 0 + -5f Combine like terms: 5f + -5f = 0 3b + 0 = 0 + -5f 3b = 0 + -5f Remove the zero: 3b = -5f Divide each side by '3'. b = -1.666666667f Simplifying b = -1.666666667fSolution
b = {-1.666666667f, -1.666666667f}
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