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Simplifying 8b2 + 26b = -11 Reorder the terms: 26b + 8b2 = -11 Solving 26b + 8b2 = -11 Solving for variable 'b'. Reorder the terms: 11 + 26b + 8b2 = -11 + 11 Combine like terms: -11 + 11 = 0 11 + 26b + 8b2 = 0 Factor a trinomial. (11 + 4b)(1 + 2b) = 0Subproblem 1
Set the factor '(11 + 4b)' equal to zero and attempt to solve: Simplifying 11 + 4b = 0 Solving 11 + 4b = 0 Move all terms containing b to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + 4b = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 4b = 0 + -11 4b = 0 + -11 Combine like terms: 0 + -11 = -11 4b = -11 Divide each side by '4'. b = -2.75 Simplifying b = -2.75Subproblem 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 = {-2.75, -0.5}
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