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Simplifying b2 = 9b + -20 Reorder the terms: b2 = -20 + 9b Solving b2 = -20 + 9b Solving for variable 'b'. Reorder the terms: 20 + -9b + b2 = -20 + 9b + 20 + -9b Reorder the terms: 20 + -9b + b2 = -20 + 20 + 9b + -9b Combine like terms: -20 + 20 = 0 20 + -9b + b2 = 0 + 9b + -9b 20 + -9b + b2 = 9b + -9b Combine like terms: 9b + -9b = 0 20 + -9b + b2 = 0 Factor a trinomial. (4 + -1b)(5 + -1b) = 0Subproblem 1
Set the factor '(4 + -1b)' equal to zero and attempt to solve: Simplifying 4 + -1b = 0 Solving 4 + -1b = 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 + -1b = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1b = 0 + -4 -1b = 0 + -4 Combine like terms: 0 + -4 = -4 -1b = -4 Divide each side by '-1'. b = 4 Simplifying b = 4Subproblem 2
Set the factor '(5 + -1b)' equal to zero and attempt to solve: Simplifying 5 + -1b = 0 Solving 5 + -1b = 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 + -1b = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1b = 0 + -5 -1b = 0 + -5 Combine like terms: 0 + -5 = -5 -1b = -5 Divide each side by '-1'. b = 5 Simplifying b = 5Solution
b = {4, 5}
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