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Simplifying b2 + 10b + 12 = -9 Reorder the terms: 12 + 10b + b2 = -9 Solving 12 + 10b + b2 = -9 Solving for variable 'b'. Reorder the terms: 12 + 9 + 10b + b2 = -9 + 9 Combine like terms: 12 + 9 = 21 21 + 10b + b2 = -9 + 9 Combine like terms: -9 + 9 = 0 21 + 10b + b2 = 0 Factor a trinomial. (7 + b)(3 + b) = 0Subproblem 1
Set the factor '(7 + b)' equal to zero and attempt to solve: Simplifying 7 + b = 0 Solving 7 + b = 0 Move all terms containing b to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + b = 0 + -7 Combine like terms: 7 + -7 = 0 0 + b = 0 + -7 b = 0 + -7 Combine like terms: 0 + -7 = -7 b = -7 Simplifying b = -7Subproblem 2
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 = -3Solution
b = {-7, -3}
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