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Simplifying b2 = -30 + -11b Solving b2 = -30 + -11b Solving for variable 'b'. Reorder the terms: 30 + 11b + b2 = -30 + -11b + 30 + 11b Reorder the terms: 30 + 11b + b2 = -30 + 30 + -11b + 11b Combine like terms: -30 + 30 = 0 30 + 11b + b2 = 0 + -11b + 11b 30 + 11b + b2 = -11b + 11b Combine like terms: -11b + 11b = 0 30 + 11b + b2 = 0 Factor a trinomial. (6 + b)(5 + b) = 0Subproblem 1
Set the factor '(6 + b)' equal to zero and attempt to solve: Simplifying 6 + b = 0 Solving 6 + b = 0 Move all terms containing b to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + b = 0 + -6 Combine like terms: 6 + -6 = 0 0 + b = 0 + -6 b = 0 + -6 Combine like terms: 0 + -6 = -6 b = -6 Simplifying b = -6Subproblem 2
Set the factor '(5 + b)' equal to zero and attempt to solve: Simplifying 5 + b = 0 Solving 5 + b = 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 + b = 0 + -5 Combine like terms: 5 + -5 = 0 0 + b = 0 + -5 b = 0 + -5 Combine like terms: 0 + -5 = -5 b = -5 Simplifying b = -5Solution
b = {-6, -5}
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