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Simplifying b2 = b + 12 Reorder the terms: b2 = 12 + b Solving b2 = 12 + b Solving for variable 'b'. Reorder the terms: -12 + -1b + b2 = 12 + b + -12 + -1b Reorder the terms: -12 + -1b + b2 = 12 + -12 + b + -1b Combine like terms: 12 + -12 = 0 -12 + -1b + b2 = 0 + b + -1b -12 + -1b + b2 = b + -1b Combine like terms: b + -1b = 0 -12 + -1b + b2 = 0 Factor a trinomial. (-3 + -1b)(4 + -1b) = 0Subproblem 1
Set the factor '(-3 + -1b)' equal to zero and attempt to solve: Simplifying -3 + -1b = 0 Solving -3 + -1b = 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 + -1b = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -1b = 0 + 3 -1b = 0 + 3 Combine like terms: 0 + 3 = 3 -1b = 3 Divide each side by '-1'. b = -3 Simplifying b = -3Subproblem 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 = {-3, 4}
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