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Simplifying b2 + 10b = -9 Reorder the terms: 10b + b2 = -9 Solving 10b + b2 = -9 Solving for variable 'b'. Reorder the terms: 9 + 10b + b2 = -9 + 9 Combine like terms: -9 + 9 = 0 9 + 10b + b2 = 0 Factor a trinomial. (9 + b)(1 + 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 '(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 = {-9, -1}
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