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Simplifying (b + 2)(b + 2) = 0 Reorder the terms: (2 + b)(b + 2) = 0 Reorder the terms: (2 + b)(2 + b) = 0 Multiply (2 + b) * (2 + b) (2(2 + b) + b(2 + b)) = 0 ((2 * 2 + b * 2) + b(2 + b)) = 0 ((4 + 2b) + b(2 + b)) = 0 (4 + 2b + (2 * b + b * b)) = 0 (4 + 2b + (2b + b2)) = 0 Combine like terms: 2b + 2b = 4b (4 + 4b + b2) = 0 Solving 4 + 4b + b2 = 0 Solving for variable 'b'. Factor a trinomial. (2 + b)(2 + b) = 0Subproblem 1
Set the factor '(2 + b)' equal to zero and attempt to solve: Simplifying 2 + b = 0 Solving 2 + b = 0 Move all terms containing b to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + b = 0 + -2 Combine like terms: 2 + -2 = 0 0 + b = 0 + -2 b = 0 + -2 Combine like terms: 0 + -2 = -2 b = -2 Simplifying b = -2Subproblem 2
Set the factor '(2 + b)' equal to zero and attempt to solve: Simplifying 2 + b = 0 Solving 2 + b = 0 Move all terms containing b to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + b = 0 + -2 Combine like terms: 2 + -2 = 0 0 + b = 0 + -2 b = 0 + -2 Combine like terms: 0 + -2 = -2 b = -2 Simplifying b = -2Solution
b = {-2, -2}
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