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Simplifying 4b2 + 21b + 5 = 0 Reorder the terms: 5 + 21b + 4b2 = 0 Solving 5 + 21b + 4b2 = 0 Solving for variable 'b'. Factor a trinomial. (5 + b)(1 + 4b) = 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 '(1 + 4b)' equal to zero and attempt to solve: Simplifying 1 + 4b = 0 Solving 1 + 4b = 0 Move all terms containing b to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 4b = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 4b = 0 + -1 4b = 0 + -1 Combine like terms: 0 + -1 = -1 4b = -1 Divide each side by '4'. b = -0.25 Simplifying b = -0.25Solution
b = {-5, -0.25}
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