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Simplifying b2 + 15b + 44 = 0 Reorder the terms: 44 + 15b + b2 = 0 Solving 44 + 15b + b2 = 0 Solving for variable 'b'. Factor a trinomial. (11 + b)(4 + b) = 0Subproblem 1
Set the factor '(11 + b)' equal to zero and attempt to solve: Simplifying 11 + b = 0 Solving 11 + b = 0 Move all terms containing b to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + b = 0 + -11 Combine like terms: 11 + -11 = 0 0 + b = 0 + -11 b = 0 + -11 Combine like terms: 0 + -11 = -11 b = -11 Simplifying b = -11Subproblem 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 = {-11, -4}
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