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Simplifying 9b2 + 49b + -30 = 0 Reorder the terms: -30 + 49b + 9b2 = 0 Solving -30 + 49b + 9b2 = 0 Solving for variable 'b'. Factor a trinomial. (-6 + -1b)(5 + -9b) = 0Subproblem 1
Set the factor '(-6 + -1b)' equal to zero and attempt to solve: Simplifying -6 + -1b = 0 Solving -6 + -1b = 0 Move all terms containing b to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + -1b = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -1b = 0 + 6 -1b = 0 + 6 Combine like terms: 0 + 6 = 6 -1b = 6 Divide each side by '-1'. b = -6 Simplifying b = -6Subproblem 2
Set the factor '(5 + -9b)' equal to zero and attempt to solve: Simplifying 5 + -9b = 0 Solving 5 + -9b = 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 + -9b = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -9b = 0 + -5 -9b = 0 + -5 Combine like terms: 0 + -5 = -5 -9b = -5 Divide each side by '-9'. b = 0.5555555556 Simplifying b = 0.5555555556Solution
b = {-6, 0.5555555556}
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