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Simplifying (b + 36)(b + 9) = 0 Reorder the terms: (36 + b)(b + 9) = 0 Reorder the terms: (36 + b)(9 + b) = 0 Multiply (36 + b) * (9 + b) (36(9 + b) + b(9 + b)) = 0 ((9 * 36 + b * 36) + b(9 + b)) = 0 ((324 + 36b) + b(9 + b)) = 0 (324 + 36b + (9 * b + b * b)) = 0 (324 + 36b + (9b + b2)) = 0 Combine like terms: 36b + 9b = 45b (324 + 45b + b2) = 0 Solving 324 + 45b + b2 = 0 Solving for variable 'b'. Factor a trinomial. (36 + b)(9 + b) = 0Subproblem 1
Set the factor '(36 + b)' equal to zero and attempt to solve: Simplifying 36 + b = 0 Solving 36 + b = 0 Move all terms containing b to the left, all other terms to the right. Add '-36' to each side of the equation. 36 + -36 + b = 0 + -36 Combine like terms: 36 + -36 = 0 0 + b = 0 + -36 b = 0 + -36 Combine like terms: 0 + -36 = -36 b = -36 Simplifying b = -36Subproblem 2
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 = -9Solution
b = {-36, -9}
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