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Simplifying b2 = -6 + -7b Solving b2 = -6 + -7b Solving for variable 'b'. Reorder the terms: 6 + 7b + b2 = -6 + -7b + 6 + 7b Reorder the terms: 6 + 7b + b2 = -6 + 6 + -7b + 7b Combine like terms: -6 + 6 = 0 6 + 7b + b2 = 0 + -7b + 7b 6 + 7b + b2 = -7b + 7b Combine like terms: -7b + 7b = 0 6 + 7b + b2 = 0 Factor a trinomial. (6 + b)(1 + 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 '(1 + b)' equal to zero and attempt to solve: Simplifying 1 + b = 0 Solving 1 + b = 0 Move all terms containing b to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + b = 0 + -1 Combine like terms: 1 + -1 = 0 0 + b = 0 + -1 b = 0 + -1 Combine like terms: 0 + -1 = -1 b = -1 Simplifying b = -1Solution
b = {-6, -1}
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