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Simplifying b2 + 9b + 9b + 81 = 0 Reorder the terms: 81 + 9b + 9b + b2 = 0 Combine like terms: 9b + 9b = 18b 81 + 18b + b2 = 0 Solving 81 + 18b + b2 = 0 Solving for variable 'b'. Factor a trinomial. (9 + b)(9 + b) = 0Subproblem 1
Set the factor '(9 + b)' equal to zero and attempt to solve: Simplifying 9 + b = 0 Solving 9 + b = 0 Move all terms containing b to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + b = 0 + -9 Combine like terms: 9 + -9 = 0 0 + b = 0 + -9 b = 0 + -9 Combine like terms: 0 + -9 = -9 b = -9 Simplifying b = -9Subproblem 2
Set the factor '(9 + b)' equal to zero and attempt to solve: Simplifying 9 + b = 0 Solving 9 + b = 0 Move all terms containing b to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + b = 0 + -9 Combine like terms: 9 + -9 = 0 0 + b = 0 + -9 b = 0 + -9 Combine like terms: 0 + -9 = -9 b = -9 Simplifying b = -9Solution
b = {-9, -9}
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