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Simplifying b2 = -11b + -28 Reorder the terms: b2 = -28 + -11b Solving b2 = -28 + -11b Solving for variable 'b'. Reorder the terms: 28 + 11b + b2 = -28 + -11b + 28 + 11b Reorder the terms: 28 + 11b + b2 = -28 + 28 + -11b + 11b Combine like terms: -28 + 28 = 0 28 + 11b + b2 = 0 + -11b + 11b 28 + 11b + b2 = -11b + 11b Combine like terms: -11b + 11b = 0 28 + 11b + b2 = 0 Factor a trinomial. (7 + b)(4 + b) = 0Subproblem 1
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 = -7Subproblem 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 = {-7, -4}
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