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Simplifying b2 = -49 + -14b Solving b2 = -49 + -14b Solving for variable 'b'. Reorder the terms: 49 + 14b + b2 = -49 + -14b + 49 + 14b Reorder the terms: 49 + 14b + b2 = -49 + 49 + -14b + 14b Combine like terms: -49 + 49 = 0 49 + 14b + b2 = 0 + -14b + 14b 49 + 14b + b2 = -14b + 14b Combine like terms: -14b + 14b = 0 49 + 14b + b2 = 0 Factor a trinomial. (7 + b)(7 + 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 '(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 = -7Solution
b = {-7, -7}
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