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Simplifying b2 = 10b + 11 Reorder the terms: b2 = 11 + 10b Solving b2 = 11 + 10b Solving for variable 'b'. Reorder the terms: -11 + -10b + b2 = 11 + 10b + -11 + -10b Reorder the terms: -11 + -10b + b2 = 11 + -11 + 10b + -10b Combine like terms: 11 + -11 = 0 -11 + -10b + b2 = 0 + 10b + -10b -11 + -10b + b2 = 10b + -10b Combine like terms: 10b + -10b = 0 -11 + -10b + b2 = 0 Factor a trinomial. (-1 + -1b)(11 + -1b) = 0Subproblem 1
Set the factor '(-1 + -1b)' equal to zero and attempt to solve: Simplifying -1 + -1b = 0 Solving -1 + -1b = 0 Move all terms containing b to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -1b = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -1b = 0 + 1 -1b = 0 + 1 Combine like terms: 0 + 1 = 1 -1b = 1 Divide each side by '-1'. b = -1 Simplifying b = -1Subproblem 2
Set the factor '(11 + -1b)' equal to zero and attempt to solve: Simplifying 11 + -1b = 0 Solving 11 + -1b = 0 Move all terms containing b to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + -1b = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -1b = 0 + -11 -1b = 0 + -11 Combine like terms: 0 + -11 = -11 -1b = -11 Divide each side by '-1'. b = 11 Simplifying b = 11Solution
b = {-1, 11}
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