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Simplifying (6 + b)(6 + b) = 0 Multiply (6 + b) * (6 + b) (6(6 + b) + b(6 + b)) = 0 ((6 * 6 + b * 6) + b(6 + b)) = 0 ((36 + 6b) + b(6 + b)) = 0 (36 + 6b + (6 * b + b * b)) = 0 (36 + 6b + (6b + b2)) = 0 Combine like terms: 6b + 6b = 12b (36 + 12b + b2) = 0 Solving 36 + 12b + b2 = 0 Solving for variable 'b'. Factor a trinomial. (6 + b)(6 + b) = 0Subproblem 1
Set the factor '(6 + b)' equal to zero and attempt to solve: Simplifying 6 + b = 0 Solving 6 + b = 0 Move all terms containing b to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + b = 0 + -6 Combine like terms: 6 + -6 = 0 0 + b = 0 + -6 b = 0 + -6 Combine like terms: 0 + -6 = -6 b = -6 Simplifying b = -6Subproblem 2
Set the factor '(6 + b)' equal to zero and attempt to solve: Simplifying 6 + b = 0 Solving 6 + b = 0 Move all terms containing b to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + b = 0 + -6 Combine like terms: 6 + -6 = 0 0 + b = 0 + -6 b = 0 + -6 Combine like terms: 0 + -6 = -6 b = -6 Simplifying b = -6Solution
b = {-6, -6}
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