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Simplifying 9b2 + -18b + 17 = 9 Reorder the terms: 17 + -18b + 9b2 = 9 Solving 17 + -18b + 9b2 = 9 Solving for variable 'b'. Reorder the terms: 17 + -9 + -18b + 9b2 = 9 + -9 Combine like terms: 17 + -9 = 8 8 + -18b + 9b2 = 9 + -9 Combine like terms: 9 + -9 = 0 8 + -18b + 9b2 = 0 Factor a trinomial. (2 + -3b)(4 + -3b) = 0Subproblem 1
Set the factor '(2 + -3b)' equal to zero and attempt to solve: Simplifying 2 + -3b = 0 Solving 2 + -3b = 0 Move all terms containing b to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -3b = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -3b = 0 + -2 -3b = 0 + -2 Combine like terms: 0 + -2 = -2 -3b = -2 Divide each side by '-3'. b = 0.6666666667 Simplifying b = 0.6666666667Subproblem 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 = {0.6666666667, 1.333333333}
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