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Simplifying (b + 36)(b + 49) = 0 Reorder the terms: (36 + b)(b + 49) = 0 Reorder the terms: (36 + b)(49 + b) = 0 Multiply (36 + b) * (49 + b) (36(49 + b) + b(49 + b)) = 0 ((49 * 36 + b * 36) + b(49 + b)) = 0 ((1764 + 36b) + b(49 + b)) = 0 (1764 + 36b + (49 * b + b * b)) = 0 (1764 + 36b + (49b + b2)) = 0 Combine like terms: 36b + 49b = 85b (1764 + 85b + b2) = 0 Solving 1764 + 85b + b2 = 0 Solving for variable 'b'. Factor a trinomial. (49 + b)(36 + b) = 0Subproblem 1
Set the factor '(49 + b)' equal to zero and attempt to solve: Simplifying 49 + b = 0 Solving 49 + b = 0 Move all terms containing b to the left, all other terms to the right. Add '-49' to each side of the equation. 49 + -49 + b = 0 + -49 Combine like terms: 49 + -49 = 0 0 + b = 0 + -49 b = 0 + -49 Combine like terms: 0 + -49 = -49 b = -49 Simplifying b = -49Subproblem 2
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 = -36Solution
b = {-49, -36}
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