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Simplifying b2 + 75 = -20b Reorder the terms: 75 + b2 = -20b Solving 75 + b2 = -20b Solving for variable 'b'. Reorder the terms: 75 + 20b + b2 = -20b + 20b Combine like terms: -20b + 20b = 0 75 + 20b + b2 = 0 Factor a trinomial. (15 + b)(5 + b) = 0Subproblem 1
Set the factor '(15 + b)' equal to zero and attempt to solve: Simplifying 15 + b = 0 Solving 15 + b = 0 Move all terms containing b to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + b = 0 + -15 Combine like terms: 15 + -15 = 0 0 + b = 0 + -15 b = 0 + -15 Combine like terms: 0 + -15 = -15 b = -15 Simplifying b = -15Subproblem 2
Set the factor '(5 + b)' equal to zero and attempt to solve: Simplifying 5 + b = 0 Solving 5 + b = 0 Move all terms containing b to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + b = 0 + -5 Combine like terms: 5 + -5 = 0 0 + b = 0 + -5 b = 0 + -5 Combine like terms: 0 + -5 = -5 b = -5 Simplifying b = -5Solution
b = {-15, -5}
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