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Simplifying 81b2 + -180bf + 100f2 = 0 Reorder the terms: -180bf + 81b2 + 100f2 = 0 Solving -180bf + 81b2 + 100f2 = 0 Solving for variable 'b'. Factor a trinomial. (9b + -10f)(9b + -10f) = 0Subproblem 1
Set the factor '(9b + -10f)' equal to zero and attempt to solve: Simplifying 9b + -10f = 0 Solving 9b + -10f = 0 Move all terms containing b to the left, all other terms to the right. Add '10f' to each side of the equation. 9b + -10f + 10f = 0 + 10f Combine like terms: -10f + 10f = 0 9b + 0 = 0 + 10f 9b = 0 + 10f Remove the zero: 9b = 10f Divide each side by '9'. b = 1.111111111f Simplifying b = 1.111111111fSubproblem 2
Set the factor '(9b + -10f)' equal to zero and attempt to solve: Simplifying 9b + -10f = 0 Solving 9b + -10f = 0 Move all terms containing b to the left, all other terms to the right. Add '10f' to each side of the equation. 9b + -10f + 10f = 0 + 10f Combine like terms: -10f + 10f = 0 9b + 0 = 0 + 10f 9b = 0 + 10f Remove the zero: 9b = 10f Divide each side by '9'. b = 1.111111111f Simplifying b = 1.111111111fSolution
b = {1.111111111f, 1.111111111f}
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