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Simplifying 81b2 + -18bf + f2 = 0 Reorder the terms: -18bf + 81b2 + f2 = 0 Solving -18bf + 81b2 + f2 = 0 Solving for variable 'b'. Factor a trinomial. (9b + -1f)(9b + -1f) = 0Subproblem 1
Set the factor '(9b + -1f)' equal to zero and attempt to solve: Simplifying 9b + -1f = 0 Solving 9b + -1f = 0 Move all terms containing b to the left, all other terms to the right. Add 'f' to each side of the equation. 9b + -1f + f = 0 + f Combine like terms: -1f + f = 0 9b + 0 = 0 + f 9b = 0 + f Remove the zero: 9b = f Divide each side by '9'. b = 0.1111111111f Simplifying b = 0.1111111111fSubproblem 2
Set the factor '(9b + -1f)' equal to zero and attempt to solve: Simplifying 9b + -1f = 0 Solving 9b + -1f = 0 Move all terms containing b to the left, all other terms to the right. Add 'f' to each side of the equation. 9b + -1f + f = 0 + f Combine like terms: -1f + f = 0 9b + 0 = 0 + f 9b = 0 + f Remove the zero: 9b = f Divide each side by '9'. b = 0.1111111111f Simplifying b = 0.1111111111fSolution
b = {0.1111111111f, 0.1111111111f}
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