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Simplifying 9b2 + 48b + 64 = 0 Reorder the terms: 64 + 48b + 9b2 = 0 Solving 64 + 48b + 9b2 = 0 Solving for variable 'b'. Factor a trinomial. (8 + 3b)(8 + 3b) = 0Subproblem 1
Set the factor '(8 + 3b)' equal to zero and attempt to solve: Simplifying 8 + 3b = 0 Solving 8 + 3b = 0 Move all terms containing b to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 3b = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 3b = 0 + -8 3b = 0 + -8 Combine like terms: 0 + -8 = -8 3b = -8 Divide each side by '3'. b = -2.666666667 Simplifying b = -2.666666667Subproblem 2
Set the factor '(8 + 3b)' equal to zero and attempt to solve: Simplifying 8 + 3b = 0 Solving 8 + 3b = 0 Move all terms containing b to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 3b = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 3b = 0 + -8 3b = 0 + -8 Combine like terms: 0 + -8 = -8 3b = -8 Divide each side by '3'. b = -2.666666667 Simplifying b = -2.666666667Solution
b = {-2.666666667, -2.666666667}
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