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Simplifying b2 = -13b + -40 Reorder the terms: b2 = -40 + -13b Solving b2 = -40 + -13b Solving for variable 'b'. Reorder the terms: 40 + 13b + b2 = -40 + -13b + 40 + 13b Reorder the terms: 40 + 13b + b2 = -40 + 40 + -13b + 13b Combine like terms: -40 + 40 = 0 40 + 13b + b2 = 0 + -13b + 13b 40 + 13b + b2 = -13b + 13b Combine like terms: -13b + 13b = 0 40 + 13b + b2 = 0 Factor a trinomial. (8 + b)(5 + 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 '(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 = {-8, -5}
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