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Simplifying 64b2 + -144bf + 81f2 = 0 Reorder the terms: -144bf + 64b2 + 81f2 = 0 Solving -144bf + 64b2 + 81f2 = 0 Solving for variable 'b'. Factor a trinomial. (8b + -9f)(8b + -9f) = 0Subproblem 1
Set the factor '(8b + -9f)' equal to zero and attempt to solve: Simplifying 8b + -9f = 0 Solving 8b + -9f = 0 Move all terms containing b to the left, all other terms to the right. Add '9f' to each side of the equation. 8b + -9f + 9f = 0 + 9f Combine like terms: -9f + 9f = 0 8b + 0 = 0 + 9f 8b = 0 + 9f Remove the zero: 8b = 9f Divide each side by '8'. b = 1.125f Simplifying b = 1.125fSubproblem 2
Set the factor '(8b + -9f)' equal to zero and attempt to solve: Simplifying 8b + -9f = 0 Solving 8b + -9f = 0 Move all terms containing b to the left, all other terms to the right. Add '9f' to each side of the equation. 8b + -9f + 9f = 0 + 9f Combine like terms: -9f + 9f = 0 8b + 0 = 0 + 9f 8b = 0 + 9f Remove the zero: 8b = 9f Divide each side by '8'. b = 1.125f Simplifying b = 1.125fSolution
b = {1.125f, 1.125f}
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