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Simplifying 9b2 + 15b + -50 = 0 Reorder the terms: -50 + 15b + 9b2 = 0 Solving -50 + 15b + 9b2 = 0 Solving for variable 'b'. Factor a trinomial. (-10 + -3b)(5 + -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 '(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 = {-3.333333333, 1.666666667}
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