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Simplifying 0 = 6b2 + -2b + -8 Reorder the terms: 0 = -8 + -2b + 6b2 Solving 0 = -8 + -2b + 6b2 Solving for variable 'b'. Combine like terms: 0 + 8 = 8 8 + 2b + -6b2 = -8 + -2b + 6b2 + 8 + 2b + -6b2 Reorder the terms: 8 + 2b + -6b2 = -8 + 8 + -2b + 2b + 6b2 + -6b2 Combine like terms: -8 + 8 = 0 8 + 2b + -6b2 = 0 + -2b + 2b + 6b2 + -6b2 8 + 2b + -6b2 = -2b + 2b + 6b2 + -6b2 Combine like terms: -2b + 2b = 0 8 + 2b + -6b2 = 0 + 6b2 + -6b2 8 + 2b + -6b2 = 6b2 + -6b2 Combine like terms: 6b2 + -6b2 = 0 8 + 2b + -6b2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(4 + b + -3b2) = 0 Factor a trinomial. 2((4 + -3b)(1 + b)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(4 + -3b)' equal to zero and attempt to solve: Simplifying 4 + -3b = 0 Solving 4 + -3b = 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 + -3b = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -3b = 0 + -4 -3b = 0 + -4 Combine like terms: 0 + -4 = -4 -3b = -4 Divide each side by '-3'. b = 1.333333333 Simplifying b = 1.333333333Subproblem 2
Set the factor '(1 + b)' equal to zero and attempt to solve: Simplifying 1 + b = 0 Solving 1 + b = 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 + b = 0 + -1 Combine like terms: 1 + -1 = 0 0 + b = 0 + -1 b = 0 + -1 Combine like terms: 0 + -1 = -1 b = -1 Simplifying b = -1Solution
b = {1.333333333, -1}
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