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Simplifying b2 = -36 + -13b Solving b2 = -36 + -13b Solving for variable 'b'. Reorder the terms: 36 + 13b + b2 = -36 + -13b + 36 + 13b Reorder the terms: 36 + 13b + b2 = -36 + 36 + -13b + 13b Combine like terms: -36 + 36 = 0 36 + 13b + b2 = 0 + -13b + 13b 36 + 13b + b2 = -13b + 13b Combine like terms: -13b + 13b = 0 36 + 13b + b2 = 0 Factor a trinomial. (9 + b)(4 + b) = 0Subproblem 1
Set the factor '(9 + b)' equal to zero and attempt to solve: Simplifying 9 + b = 0 Solving 9 + b = 0 Move all terms containing b to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + b = 0 + -9 Combine like terms: 9 + -9 = 0 0 + b = 0 + -9 b = 0 + -9 Combine like terms: 0 + -9 = -9 b = -9 Simplifying b = -9Subproblem 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 = {-9, -4}
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