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Simplifying 9b2 + 36b + 20 = 0 Reorder the terms: 20 + 36b + 9b2 = 0 Solving 20 + 36b + 9b2 = 0 Solving for variable 'b'. Factor a trinomial. (10 + 3b)(2 + 3b) = 0Subproblem 1
Set the factor '(10 + 3b)' equal to zero and attempt to solve: Simplifying 10 + 3b = 0 Solving 10 + 3b = 0 Move all terms containing b to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 3b = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 3b = 0 + -10 3b = 0 + -10 Combine like terms: 0 + -10 = -10 3b = -10 Divide each side by '3'. b = -3.333333333 Simplifying b = -3.333333333Subproblem 2
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 = -0.6666666667Solution
b = {-3.333333333, -0.6666666667}
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