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Simplifying 11b2 + 27b + 10 = 0 Reorder the terms: 10 + 27b + 11b2 = 0 Solving 10 + 27b + 11b2 = 0 Solving for variable 'b'. Factor a trinomial. (2 + b)(5 + 11b) = 0Subproblem 1
Set the factor '(2 + b)' equal to zero and attempt to solve: Simplifying 2 + b = 0 Solving 2 + b = 0 Move all terms containing b to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + b = 0 + -2 Combine like terms: 2 + -2 = 0 0 + b = 0 + -2 b = 0 + -2 Combine like terms: 0 + -2 = -2 b = -2 Simplifying b = -2Subproblem 2
Set the factor '(5 + 11b)' equal to zero and attempt to solve: Simplifying 5 + 11b = 0 Solving 5 + 11b = 0 Move all terms containing b to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + 11b = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 11b = 0 + -5 11b = 0 + -5 Combine like terms: 0 + -5 = -5 11b = -5 Divide each side by '11'. b = -0.4545454545 Simplifying b = -0.4545454545Solution
b = {-2, -0.4545454545}
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