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Simplifying 9b2 + -1b + -20 = 2b Reorder the terms: -20 + -1b + 9b2 = 2b Solving -20 + -1b + 9b2 = 2b Solving for variable 'b'. Reorder the terms: -20 + -1b + -2b + 9b2 = 2b + -2b Combine like terms: -1b + -2b = -3b -20 + -3b + 9b2 = 2b + -2b Combine like terms: 2b + -2b = 0 -20 + -3b + 9b2 = 0 Factor a trinomial. (-4 + -3b)(5 + -3b) = 0Subproblem 1
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 = -1.333333333Subproblem 2
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 = 1.666666667Solution
b = {-1.333333333, 1.666666667}
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