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Simplifying b2 = -9b + -8 Reorder the terms: b2 = -8 + -9b Solving b2 = -8 + -9b Solving for variable 'b'. Reorder the terms: 8 + 9b + b2 = -8 + -9b + 8 + 9b Reorder the terms: 8 + 9b + b2 = -8 + 8 + -9b + 9b Combine like terms: -8 + 8 = 0 8 + 9b + b2 = 0 + -9b + 9b 8 + 9b + b2 = -9b + 9b Combine like terms: -9b + 9b = 0 8 + 9b + b2 = 0 Factor a trinomial. (8 + b)(1 + b) = 0Subproblem 1
Set the factor '(8 + b)' equal to zero and attempt to solve: Simplifying 8 + b = 0 Solving 8 + b = 0 Move all terms containing b to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + b = 0 + -8 Combine like terms: 8 + -8 = 0 0 + b = 0 + -8 b = 0 + -8 Combine like terms: 0 + -8 = -8 b = -8 Simplifying b = -8Subproblem 2
Set the factor '(1 + b)' equal to zero and attempt to solve: Simplifying 1 + b = 0 Solving 1 + b = 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 + b = 0 + -1 Combine like terms: 1 + -1 = 0 0 + b = 0 + -1 b = 0 + -1 Combine like terms: 0 + -1 = -1 b = -1 Simplifying b = -1Solution
b = {-8, -1}
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