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Simplifying 14b2 + 43b + 20 = 0 Reorder the terms: 20 + 43b + 14b2 = 0 Solving 20 + 43b + 14b2 = 0 Solving for variable 'b'. Factor a trinomial. (5 + 2b)(4 + 7b) = 0Subproblem 1
Set the factor '(5 + 2b)' equal to zero and attempt to solve: Simplifying 5 + 2b = 0 Solving 5 + 2b = 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 + 2b = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 2b = 0 + -5 2b = 0 + -5 Combine like terms: 0 + -5 = -5 2b = -5 Divide each side by '2'. b = -2.5 Simplifying b = -2.5Subproblem 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 = {-2.5, -0.5714285714}
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