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Simplifying 3b2 + -11b + -4 = 0 Reorder the terms: -4 + -11b + 3b2 = 0 Solving -4 + -11b + 3b2 = 0 Solving for variable 'b'. Factor a trinomial. (-1 + -3b)(4 + -1b) = 0Subproblem 1
Set the factor '(-1 + -3b)' equal to zero and attempt to solve: Simplifying -1 + -3b = 0 Solving -1 + -3b = 0 Move all terms containing b to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -3b = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -3b = 0 + 1 -3b = 0 + 1 Combine like terms: 0 + 1 = 1 -3b = 1 Divide each side by '-3'. b = -0.3333333333 Simplifying b = -0.3333333333Subproblem 2
Set the factor '(4 + -1b)' equal to zero and attempt to solve: Simplifying 4 + -1b = 0 Solving 4 + -1b = 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 + -1b = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1b = 0 + -4 -1b = 0 + -4 Combine like terms: 0 + -4 = -4 -1b = -4 Divide each side by '-1'. b = 4 Simplifying b = 4Solution
b = {-0.3333333333, 4}
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