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Simplifying b2 = -10b + -25 Reorder the terms: b2 = -25 + -10b Solving b2 = -25 + -10b Solving for variable 'b'. Reorder the terms: 25 + 10b + b2 = -25 + -10b + 25 + 10b Reorder the terms: 25 + 10b + b2 = -25 + 25 + -10b + 10b Combine like terms: -25 + 25 = 0 25 + 10b + b2 = 0 + -10b + 10b 25 + 10b + b2 = -10b + 10b Combine like terms: -10b + 10b = 0 25 + 10b + b2 = 0 Factor a trinomial. (5 + b)(5 + b) = 0Subproblem 1
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 = -5Subproblem 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 = {-5, -5}
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