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Simplifying 6b2 = b + 12 Reorder the terms: 6b2 = 12 + b Solving 6b2 = 12 + b Solving for variable 'b'. Reorder the terms: -12 + -1b + 6b2 = 12 + b + -12 + -1b Reorder the terms: -12 + -1b + 6b2 = 12 + -12 + b + -1b Combine like terms: 12 + -12 = 0 -12 + -1b + 6b2 = 0 + b + -1b -12 + -1b + 6b2 = b + -1b Combine like terms: b + -1b = 0 -12 + -1b + 6b2 = 0 Factor a trinomial. (-4 + -3b)(3 + -2b) = 0Subproblem 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 '(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 = 1.5Solution
b = {-1.333333333, 1.5}
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