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Simplifying 6b2 + 13b + -6 = -12 Reorder the terms: -6 + 13b + 6b2 = -12 Solving -6 + 13b + 6b2 = -12 Solving for variable 'b'. Reorder the terms: -6 + 12 + 13b + 6b2 = -12 + 12 Combine like terms: -6 + 12 = 6 6 + 13b + 6b2 = -12 + 12 Combine like terms: -12 + 12 = 0 6 + 13b + 6b2 = 0 Factor a trinomial. (3 + 2b)(2 + 3b) = 0Subproblem 1
Set the factor '(3 + 2b)' equal to zero and attempt to solve: Simplifying 3 + 2b = 0 Solving 3 + 2b = 0 Move all terms containing b to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 2b = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 2b = 0 + -3 2b = 0 + -3 Combine like terms: 0 + -3 = -3 2b = -3 Divide each side by '2'. b = -1.5 Simplifying b = -1.5Subproblem 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 = {-1.5, -0.6666666667}
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