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Simplifying b2 = -9b + -20 Reorder the terms: b2 = -20 + -9b Solving b2 = -20 + -9b Solving for variable 'b'. Reorder the terms: 20 + 9b + b2 = -20 + -9b + 20 + 9b Reorder the terms: 20 + 9b + b2 = -20 + 20 + -9b + 9b Combine like terms: -20 + 20 = 0 20 + 9b + b2 = 0 + -9b + 9b 20 + 9b + b2 = -9b + 9b Combine like terms: -9b + 9b = 0 20 + 9b + b2 = 0 Factor a trinomial. (5 + b)(4 + b) = 0Subproblem 1
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 = -5Subproblem 2
Set the factor '(4 + b)' equal to zero and attempt to solve: Simplifying 4 + b = 0 Solving 4 + b = 0 Move all terms containing b to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + b = 0 + -4 Combine like terms: 4 + -4 = 0 0 + b = 0 + -4 b = 0 + -4 Combine like terms: 0 + -4 = -4 b = -4 Simplifying b = -4Solution
b = {-5, -4}
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