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Simplifying 9b2 + 82b + 80 = 0 Reorder the terms: 80 + 82b + 9b2 = 0 Solving 80 + 82b + 9b2 = 0 Solving for variable 'b'. Factor a trinomial. (8 + b)(10 + 9b) = 0Subproblem 1
Set the factor '(8 + b)' equal to zero and attempt to solve: Simplifying 8 + b = 0 Solving 8 + b = 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 + b = 0 + -8 Combine like terms: 8 + -8 = 0 0 + b = 0 + -8 b = 0 + -8 Combine like terms: 0 + -8 = -8 b = -8 Simplifying b = -8Subproblem 2
Set the factor '(10 + 9b)' equal to zero and attempt to solve: Simplifying 10 + 9b = 0 Solving 10 + 9b = 0 Move all terms containing b to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 9b = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 9b = 0 + -10 9b = 0 + -10 Combine like terms: 0 + -10 = -10 9b = -10 Divide each side by '9'. b = -1.111111111 Simplifying b = -1.111111111Solution
b = {-8, -1.111111111}
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