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Simplifying 6b2 + 25b + 11 = 0 Reorder the terms: 11 + 25b + 6b2 = 0 Solving 11 + 25b + 6b2 = 0 Solving for variable 'b'. Factor a trinomial. (11 + 3b)(1 + 2b) = 0Subproblem 1
Set the factor '(11 + 3b)' equal to zero and attempt to solve: Simplifying 11 + 3b = 0 Solving 11 + 3b = 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 + 3b = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 3b = 0 + -11 3b = 0 + -11 Combine like terms: 0 + -11 = -11 3b = -11 Divide each side by '3'. b = -3.666666667 Simplifying b = -3.666666667Subproblem 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 = {-3.666666667, -0.5}
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