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Simplifying 64b2 + -48b + 9 = 0 Reorder the terms: 9 + -48b + 64b2 = 0 Solving 9 + -48b + 64b2 = 0 Solving for variable 'b'. Factor a trinomial. (3 + -8b)(3 + -8b) = 0Subproblem 1
Set the factor '(3 + -8b)' equal to zero and attempt to solve: Simplifying 3 + -8b = 0 Solving 3 + -8b = 0 Move all terms containing b to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -8b = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -8b = 0 + -3 -8b = 0 + -3 Combine like terms: 0 + -3 = -3 -8b = -3 Divide each side by '-8'. b = 0.375 Simplifying b = 0.375Subproblem 2
Set the factor '(3 + -8b)' equal to zero and attempt to solve: Simplifying 3 + -8b = 0 Solving 3 + -8b = 0 Move all terms containing b to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -8b = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -8b = 0 + -3 -8b = 0 + -3 Combine like terms: 0 + -3 = -3 -8b = -3 Divide each side by '-8'. b = 0.375 Simplifying b = 0.375Solution
b = {0.375, 0.375}
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