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Simplifying 4b2 + 19b + 21 = 0 Reorder the terms: 21 + 19b + 4b2 = 0 Solving 21 + 19b + 4b2 = 0 Solving for variable 'b'. Factor a trinomial. (3 + b)(7 + 4b) = 0Subproblem 1
Set the factor '(3 + b)' equal to zero and attempt to solve: Simplifying 3 + b = 0 Solving 3 + b = 0 Move all terms containing b to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + b = 0 + -3 Combine like terms: 3 + -3 = 0 0 + b = 0 + -3 b = 0 + -3 Combine like terms: 0 + -3 = -3 b = -3 Simplifying b = -3Subproblem 2
Set the factor '(7 + 4b)' equal to zero and attempt to solve: Simplifying 7 + 4b = 0 Solving 7 + 4b = 0 Move all terms containing b to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 4b = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 4b = 0 + -7 4b = 0 + -7 Combine like terms: 0 + -7 = -7 4b = -7 Divide each side by '4'. b = -1.75 Simplifying b = -1.75Solution
b = {-3, -1.75}
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