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Simplifying 7b2 + 18b = -8 Reorder the terms: 18b + 7b2 = -8 Solving 18b + 7b2 = -8 Solving for variable 'b'. Reorder the terms: 8 + 18b + 7b2 = -8 + 8 Combine like terms: -8 + 8 = 0 8 + 18b + 7b2 = 0 Factor a trinomial. (2 + b)(4 + 7b) = 0Subproblem 1
Set the factor '(2 + b)' equal to zero and attempt to solve: Simplifying 2 + b = 0 Solving 2 + b = 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 + b = 0 + -2 Combine like terms: 2 + -2 = 0 0 + b = 0 + -2 b = 0 + -2 Combine like terms: 0 + -2 = -2 b = -2 Simplifying b = -2Subproblem 2
Set the factor '(4 + 7b)' equal to zero and attempt to solve: Simplifying 4 + 7b = 0 Solving 4 + 7b = 0 Move all terms containing b to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 7b = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 7b = 0 + -4 7b = 0 + -4 Combine like terms: 0 + -4 = -4 7b = -4 Divide each side by '7'. b = -0.5714285714 Simplifying b = -0.5714285714Solution
b = {-2, -0.5714285714}
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