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Simplifying b2 = -24 + -10b Solving b2 = -24 + -10b Solving for variable 'b'. Reorder the terms: 24 + 10b + b2 = -24 + -10b + 24 + 10b Reorder the terms: 24 + 10b + b2 = -24 + 24 + -10b + 10b Combine like terms: -24 + 24 = 0 24 + 10b + b2 = 0 + -10b + 10b 24 + 10b + b2 = -10b + 10b Combine like terms: -10b + 10b = 0 24 + 10b + b2 = 0 Factor a trinomial. (6 + b)(4 + b) = 0Subproblem 1
Set the factor '(6 + b)' equal to zero and attempt to solve: Simplifying 6 + b = 0 Solving 6 + b = 0 Move all terms containing b to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + b = 0 + -6 Combine like terms: 6 + -6 = 0 0 + b = 0 + -6 b = 0 + -6 Combine like terms: 0 + -6 = -6 b = -6 Simplifying b = -6Subproblem 2
Set the factor '(4 + b)' equal to zero and attempt to solve: Simplifying 4 + b = 0 Solving 4 + b = 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 + b = 0 + -4 Combine like terms: 4 + -4 = 0 0 + b = 0 + -4 b = 0 + -4 Combine like terms: 0 + -4 = -4 b = -4 Simplifying b = -4Solution
b = {-6, -4}
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