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Simplifying 36b2 + 60bf + 25f2 = 0 Reorder the terms: 60bf + 36b2 + 25f2 = 0 Solving 60bf + 36b2 + 25f2 = 0 Solving for variable 'b'. Factor a trinomial. (6b + 5f)(6b + 5f) = 0Subproblem 1
Set the factor '(6b + 5f)' equal to zero and attempt to solve: Simplifying 6b + 5f = 0 Solving 6b + 5f = 0 Move all terms containing b to the left, all other terms to the right. Add '-5f' to each side of the equation. 6b + 5f + -5f = 0 + -5f Combine like terms: 5f + -5f = 0 6b + 0 = 0 + -5f 6b = 0 + -5f Remove the zero: 6b = -5f Divide each side by '6'. b = -0.8333333333f Simplifying b = -0.8333333333fSubproblem 2
Set the factor '(6b + 5f)' equal to zero and attempt to solve: Simplifying 6b + 5f = 0 Solving 6b + 5f = 0 Move all terms containing b to the left, all other terms to the right. Add '-5f' to each side of the equation. 6b + 5f + -5f = 0 + -5f Combine like terms: 5f + -5f = 0 6b + 0 = 0 + -5f 6b = 0 + -5f Remove the zero: 6b = -5f Divide each side by '6'. b = -0.8333333333f Simplifying b = -0.8333333333fSolution
b = {-0.8333333333f, -0.8333333333f}
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