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Simplifying 25b2 + 90bf + 81f2 = 0 Reorder the terms: 90bf + 25b2 + 81f2 = 0 Solving 90bf + 25b2 + 81f2 = 0 Solving for variable 'b'. Factor a trinomial. (5b + 9f)(5b + 9f) = 0Subproblem 1
Set the factor '(5b + 9f)' equal to zero and attempt to solve: Simplifying 5b + 9f = 0 Solving 5b + 9f = 0 Move all terms containing b to the left, all other terms to the right. Add '-9f' to each side of the equation. 5b + 9f + -9f = 0 + -9f Combine like terms: 9f + -9f = 0 5b + 0 = 0 + -9f 5b = 0 + -9f Remove the zero: 5b = -9f Divide each side by '5'. b = -1.8f Simplifying b = -1.8fSubproblem 2
Set the factor '(5b + 9f)' equal to zero and attempt to solve: Simplifying 5b + 9f = 0 Solving 5b + 9f = 0 Move all terms containing b to the left, all other terms to the right. Add '-9f' to each side of the equation. 5b + 9f + -9f = 0 + -9f Combine like terms: 9f + -9f = 0 5b + 0 = 0 + -9f 5b = 0 + -9f Remove the zero: 5b = -9f Divide each side by '5'. b = -1.8f Simplifying b = -1.8fSolution
b = {-1.8f, -1.8f}
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