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Simplifying (b + 3)(b + 2) = 0 Reorder the terms: (3 + b)(b + 2) = 0 Reorder the terms: (3 + b)(2 + b) = 0 Multiply (3 + b) * (2 + b) (3(2 + b) + b(2 + b)) = 0 ((2 * 3 + b * 3) + b(2 + b)) = 0 ((6 + 3b) + b(2 + b)) = 0 (6 + 3b + (2 * b + b * b)) = 0 (6 + 3b + (2b + b2)) = 0 Combine like terms: 3b + 2b = 5b (6 + 5b + b2) = 0 Solving 6 + 5b + b2 = 0 Solving for variable 'b'. Factor a trinomial. (3 + b)(2 + b) = 0Subproblem 1
Set the factor '(3 + b)' equal to zero and attempt to solve: Simplifying 3 + b = 0 Solving 3 + b = 0 Move all terms containing b to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + b = 0 + -3 Combine like terms: 3 + -3 = 0 0 + b = 0 + -3 b = 0 + -3 Combine like terms: 0 + -3 = -3 b = -3 Simplifying b = -3Subproblem 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 = {-3, -2}
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