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Simplifying 7b2 + 58b + 16 = 0 Reorder the terms: 16 + 58b + 7b2 = 0 Solving 16 + 58b + 7b2 = 0 Solving for variable 'b'. Factor a trinomial. (8 + b)(2 + 7b) = 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 '(2 + 7b)' equal to zero and attempt to solve: Simplifying 2 + 7b = 0 Solving 2 + 7b = 0 Move all terms containing b to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 7b = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 7b = 0 + -2 7b = 0 + -2 Combine like terms: 0 + -2 = -2 7b = -2 Divide each side by '7'. b = -0.2857142857 Simplifying b = -0.2857142857Solution
b = {-8, -0.2857142857}
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