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Simplifying (b + 1)(b + 1) = 0 Reorder the terms: (1 + b)(b + 1) = 0 Reorder the terms: (1 + b)(1 + b) = 0 Multiply (1 + b) * (1 + b) (1(1 + b) + b(1 + b)) = 0 ((1 * 1 + b * 1) + b(1 + b)) = 0 ((1 + 1b) + b(1 + b)) = 0 (1 + 1b + (1 * b + b * b)) = 0 (1 + 1b + (1b + b2)) = 0 Combine like terms: 1b + 1b = 2b (1 + 2b + b2) = 0 Solving 1 + 2b + b2 = 0 Solving for variable 'b'. Factor a trinomial. (1 + b)(1 + b) = 0Subproblem 1
Set the factor '(1 + b)' equal to zero and attempt to solve: Simplifying 1 + b = 0 Solving 1 + b = 0 Move all terms containing b to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + b = 0 + -1 Combine like terms: 1 + -1 = 0 0 + b = 0 + -1 b = 0 + -1 Combine like terms: 0 + -1 = -1 b = -1 Simplifying b = -1Subproblem 2
Set the factor '(1 + b)' equal to zero and attempt to solve: Simplifying 1 + b = 0 Solving 1 + b = 0 Move all terms containing b to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + b = 0 + -1 Combine like terms: 1 + -1 = 0 0 + b = 0 + -1 b = 0 + -1 Combine like terms: 0 + -1 = -1 b = -1 Simplifying b = -1Solution
b = {-1, -1}
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