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Simplifying 5b2 + 29b + 36 = 0 Reorder the terms: 36 + 29b + 5b2 = 0 Solving 36 + 29b + 5b2 = 0 Solving for variable 'b'. Factor a trinomial. (4 + b)(9 + 5b) = 0Subproblem 1
Set the factor '(4 + b)' equal to zero and attempt to solve: Simplifying 4 + b = 0 Solving 4 + b = 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 + b = 0 + -4 Combine like terms: 4 + -4 = 0 0 + b = 0 + -4 b = 0 + -4 Combine like terms: 0 + -4 = -4 b = -4 Simplifying b = -4Subproblem 2
Set the factor '(9 + 5b)' equal to zero and attempt to solve: Simplifying 9 + 5b = 0 Solving 9 + 5b = 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 + 5b = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 5b = 0 + -9 5b = 0 + -9 Combine like terms: 0 + -9 = -9 5b = -9 Divide each side by '5'. b = -1.8 Simplifying b = -1.8Solution
b = {-4, -1.8}
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