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Simplifying (b + 7)(b + 7) = 0 Reorder the terms: (7 + b)(b + 7) = 0 Reorder the terms: (7 + b)(7 + b) = 0 Multiply (7 + b) * (7 + b) (7(7 + b) + b(7 + b)) = 0 ((7 * 7 + b * 7) + b(7 + b)) = 0 ((49 + 7b) + b(7 + b)) = 0 (49 + 7b + (7 * b + b * b)) = 0 (49 + 7b + (7b + b2)) = 0 Combine like terms: 7b + 7b = 14b (49 + 14b + b2) = 0 Solving 49 + 14b + b2 = 0 Solving for variable 'b'. 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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