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Simplifying 9b2 + 9b + -10 = 0 Reorder the terms: -10 + 9b + 9b2 = 0 Solving -10 + 9b + 9b2 = 0 Solving for variable 'b'. Factor a trinomial. (-5 + -3b)(2 + -3b) = 0Subproblem 1
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 = -1.666666667Subproblem 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 = {-1.666666667, 0.6666666667}
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