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Simplifying 4b + -4b2 + -1 = 0 Reorder the terms: -1 + 4b + -4b2 = 0 Solving -1 + 4b + -4b2 = 0 Solving for variable 'b'. Factor a trinomial. (-1 + 2b)(1 + -2b) = 0Subproblem 1
Set the factor '(-1 + 2b)' equal to zero and attempt to solve: Simplifying -1 + 2b = 0 Solving -1 + 2b = 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 + 2b = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 2b = 0 + 1 2b = 0 + 1 Combine like terms: 0 + 1 = 1 2b = 1 Divide each side by '2'. b = 0.5 Simplifying b = 0.5Subproblem 2
Set the factor '(1 + -2b)' equal to zero and attempt to solve: Simplifying 1 + -2b = 0 Solving 1 + -2b = 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 + -2b = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2b = 0 + -1 -2b = 0 + -1 Combine like terms: 0 + -1 = -1 -2b = -1 Divide each side by '-2'. b = 0.5 Simplifying b = 0.5Solution
b = {0.5, 0.5}
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