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Simplifying 9b2 + -10b + 1 = 0 Reorder the terms: 1 + -10b + 9b2 = 0 Solving 1 + -10b + 9b2 = 0 Solving for variable 'b'. Factor a trinomial. (1 + -9b)(1 + -1b) = 0Subproblem 1
Set the factor '(1 + -9b)' equal to zero and attempt to solve: Simplifying 1 + -9b = 0 Solving 1 + -9b = 0 Move all terms containing b to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -9b = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -9b = 0 + -1 -9b = 0 + -1 Combine like terms: 0 + -1 = -1 -9b = -1 Divide each side by '-9'. b = 0.1111111111 Simplifying b = 0.1111111111Subproblem 2
Set the factor '(1 + -1b)' equal to zero and attempt to solve: Simplifying 1 + -1b = 0 Solving 1 + -1b = 0 Move all terms containing b to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1b = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1b = 0 + -1 -1b = 0 + -1 Combine like terms: 0 + -1 = -1 -1b = -1 Divide each side by '-1'. b = 1 Simplifying b = 1Solution
b = {0.1111111111, 1}
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