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Simplifying 18b2 + 45b + 8 = -17 Reorder the terms: 8 + 45b + 18b2 = -17 Solving 8 + 45b + 18b2 = -17 Solving for variable 'b'. Reorder the terms: 8 + 17 + 45b + 18b2 = -17 + 17 Combine like terms: 8 + 17 = 25 25 + 45b + 18b2 = -17 + 17 Combine like terms: -17 + 17 = 0 25 + 45b + 18b2 = 0 Factor a trinomial. (5 + 3b)(5 + 6b) = 0Subproblem 1
Set the factor '(5 + 3b)' equal to zero and attempt to solve: Simplifying 5 + 3b = 0 Solving 5 + 3b = 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 + 3b = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 3b = 0 + -5 3b = 0 + -5 Combine like terms: 0 + -5 = -5 3b = -5 Divide each side by '3'. b = -1.666666667 Simplifying b = -1.666666667Subproblem 2
Set the factor '(5 + 6b)' equal to zero and attempt to solve: Simplifying 5 + 6b = 0 Solving 5 + 6b = 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 + 6b = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 6b = 0 + -5 6b = 0 + -5 Combine like terms: 0 + -5 = -5 6b = -5 Divide each side by '6'. b = -0.8333333333 Simplifying b = -0.8333333333Solution
b = {-1.666666667, -0.8333333333}
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