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Simplifying 4b2 + 28b + 45 = 0 Reorder the terms: 45 + 28b + 4b2 = 0 Solving 45 + 28b + 4b2 = 0 Solving for variable 'b'. Factor a trinomial. (9 + 2b)(5 + 2b) = 0Subproblem 1
Set the factor '(9 + 2b)' equal to zero and attempt to solve: Simplifying 9 + 2b = 0 Solving 9 + 2b = 0 Move all terms containing b to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 2b = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 2b = 0 + -9 2b = 0 + -9 Combine like terms: 0 + -9 = -9 2b = -9 Divide each side by '2'. b = -4.5 Simplifying b = -4.5Subproblem 2
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 = -2.5Solution
b = {-4.5, -2.5}
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