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Simplifying b2 = -12b + -32 Reorder the terms: b2 = -32 + -12b Solving b2 = -32 + -12b Solving for variable 'b'. Reorder the terms: 32 + 12b + b2 = -32 + -12b + 32 + 12b Reorder the terms: 32 + 12b + b2 = -32 + 32 + -12b + 12b Combine like terms: -32 + 32 = 0 32 + 12b + b2 = 0 + -12b + 12b 32 + 12b + b2 = -12b + 12b Combine like terms: -12b + 12b = 0 32 + 12b + b2 = 0 Factor a trinomial. (8 + b)(4 + 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 '(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 = {-8, -4}
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