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Simplifying 9b2 + 24b + 13 = -3 Reorder the terms: 13 + 24b + 9b2 = -3 Solving 13 + 24b + 9b2 = -3 Solving for variable 'b'. Reorder the terms: 13 + 3 + 24b + 9b2 = -3 + 3 Combine like terms: 13 + 3 = 16 16 + 24b + 9b2 = -3 + 3 Combine like terms: -3 + 3 = 0 16 + 24b + 9b2 = 0 Factor a trinomial. (4 + 3b)(4 + 3b) = 0Subproblem 1
Set the factor '(4 + 3b)' equal to zero and attempt to solve: Simplifying 4 + 3b = 0 Solving 4 + 3b = 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 + 3b = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 3b = 0 + -4 3b = 0 + -4 Combine like terms: 0 + -4 = -4 3b = -4 Divide each side by '3'. b = -1.333333333 Simplifying b = -1.333333333Subproblem 2
Set the factor '(4 + 3b)' equal to zero and attempt to solve: Simplifying 4 + 3b = 0 Solving 4 + 3b = 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 + 3b = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 3b = 0 + -4 3b = 0 + -4 Combine like terms: 0 + -4 = -4 3b = -4 Divide each side by '3'. b = -1.333333333 Simplifying b = -1.333333333Solution
b = {-1.333333333, -1.333333333}
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