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Simplifying 64b2 + -16b + 1 = 0 Reorder the terms: 1 + -16b + 64b2 = 0 Solving 1 + -16b + 64b2 = 0 Solving for variable 'b'. Factor a trinomial. (1 + -8b)(1 + -8b) = 0Subproblem 1
Set the factor '(1 + -8b)' equal to zero and attempt to solve: Simplifying 1 + -8b = 0 Solving 1 + -8b = 0 Move all terms containing b to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -8b = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -8b = 0 + -1 -8b = 0 + -1 Combine like terms: 0 + -1 = -1 -8b = -1 Divide each side by '-8'. b = 0.125 Simplifying b = 0.125Subproblem 2
Set the factor '(1 + -8b)' equal to zero and attempt to solve: Simplifying 1 + -8b = 0 Solving 1 + -8b = 0 Move all terms containing b to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -8b = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -8b = 0 + -1 -8b = 0 + -1 Combine like terms: 0 + -1 = -1 -8b = -1 Divide each side by '-8'. b = 0.125 Simplifying b = 0.125Solution
b = {0.125, 0.125}
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