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Simplifying b2 + 22b = -121 Reorder the terms: 22b + b2 = -121 Solving 22b + b2 = -121 Solving for variable 'b'. Reorder the terms: 121 + 22b + b2 = -121 + 121 Combine like terms: -121 + 121 = 0 121 + 22b + b2 = 0 Factor a trinomial. (11 + b)(11 + 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 '(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 = -11Solution
b = {-11, -11}
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