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Simplifying 55 + 16b + b2 = 0 Solving 55 + 16b + b2 = 0 Solving for variable 'b'. Factor a trinomial. (11 + b)(5 + 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 '(5 + b)' equal to zero and attempt to solve: Simplifying 5 + b = 0 Solving 5 + b = 0 Move all terms containing b to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + b = 0 + -5 Combine like terms: 5 + -5 = 0 0 + b = 0 + -5 b = 0 + -5 Combine like terms: 0 + -5 = -5 b = -5 Simplifying b = -5Solution
b = {-11, -5}
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