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Simplifying b2 = -15b + -56 Reorder the terms: b2 = -56 + -15b Solving b2 = -56 + -15b Solving for variable 'b'. Reorder the terms: 56 + 15b + b2 = -56 + -15b + 56 + 15b Reorder the terms: 56 + 15b + b2 = -56 + 56 + -15b + 15b Combine like terms: -56 + 56 = 0 56 + 15b + b2 = 0 + -15b + 15b 56 + 15b + b2 = -15b + 15b Combine like terms: -15b + 15b = 0 56 + 15b + b2 = 0 Factor a trinomial. (8 + b)(7 + 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 '(7 + b)' equal to zero and attempt to solve: Simplifying 7 + b = 0 Solving 7 + b = 0 Move all terms containing b to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + b = 0 + -7 Combine like terms: 7 + -7 = 0 0 + b = 0 + -7 b = 0 + -7 Combine like terms: 0 + -7 = -7 b = -7 Simplifying b = -7Solution
b = {-8, -7}
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