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Simplifying 7b2 = -43b + -40 Reorder the terms: 7b2 = -40 + -43b Solving 7b2 = -40 + -43b Solving for variable 'b'. Reorder the terms: 40 + 43b + 7b2 = -40 + -43b + 40 + 43b Reorder the terms: 40 + 43b + 7b2 = -40 + 40 + -43b + 43b Combine like terms: -40 + 40 = 0 40 + 43b + 7b2 = 0 + -43b + 43b 40 + 43b + 7b2 = -43b + 43b Combine like terms: -43b + 43b = 0 40 + 43b + 7b2 = 0 Factor a trinomial. (5 + b)(8 + 7b) = 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 '(8 + 7b)' equal to zero and attempt to solve: Simplifying 8 + 7b = 0 Solving 8 + 7b = 0 Move all terms containing b to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 7b = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 7b = 0 + -8 7b = 0 + -8 Combine like terms: 0 + -8 = -8 7b = -8 Divide each side by '7'. b = -1.142857143 Simplifying b = -1.142857143Solution
b = {-5, -1.142857143}
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