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Simplifying 9b2 + 21b + 1 = 9 Reorder the terms: 1 + 21b + 9b2 = 9 Solving 1 + 21b + 9b2 = 9 Solving for variable 'b'. Reorder the terms: 1 + -9 + 21b + 9b2 = 9 + -9 Combine like terms: 1 + -9 = -8 -8 + 21b + 9b2 = 9 + -9 Combine like terms: 9 + -9 = 0 -8 + 21b + 9b2 = 0 Factor a trinomial. (-8 + -3b)(1 + -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 '(1 + -3b)' equal to zero and attempt to solve: Simplifying 1 + -3b = 0 Solving 1 + -3b = 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 + -3b = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -3b = 0 + -1 -3b = 0 + -1 Combine like terms: 0 + -1 = -1 -3b = -1 Divide each side by '-3'. b = 0.3333333333 Simplifying b = 0.3333333333Solution
b = {-2.666666667, 0.3333333333}
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