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Simplifying b2 = -45 + -14b Solving b2 = -45 + -14b Solving for variable 'b'. Reorder the terms: 45 + 14b + b2 = -45 + -14b + 45 + 14b Reorder the terms: 45 + 14b + b2 = -45 + 45 + -14b + 14b Combine like terms: -45 + 45 = 0 45 + 14b + b2 = 0 + -14b + 14b 45 + 14b + b2 = -14b + 14b Combine like terms: -14b + 14b = 0 45 + 14b + b2 = 0 Factor a trinomial. (9 + b)(5 + 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 '(5 + b)' equal to zero and attempt to solve: Simplifying 5 + b = 0 Solving 5 + b = 0 Move all terms containing b to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + b = 0 + -5 Combine like terms: 5 + -5 = 0 0 + b = 0 + -5 b = 0 + -5 Combine like terms: 0 + -5 = -5 b = -5 Simplifying b = -5Solution
b = {-9, -5}
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