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Simplifying b2 = b + 110 Reorder the terms: b2 = 110 + b Solving b2 = 110 + b Solving for variable 'b'. Reorder the terms: -110 + -1b + b2 = 110 + b + -110 + -1b Reorder the terms: -110 + -1b + b2 = 110 + -110 + b + -1b Combine like terms: 110 + -110 = 0 -110 + -1b + b2 = 0 + b + -1b -110 + -1b + b2 = b + -1b Combine like terms: b + -1b = 0 -110 + -1b + b2 = 0 Factor a trinomial. (-10 + -1b)(11 + -1b) = 0Subproblem 1
Set the factor '(-10 + -1b)' equal to zero and attempt to solve: Simplifying -10 + -1b = 0 Solving -10 + -1b = 0 Move all terms containing b to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + -1b = 0 + 10 Combine like terms: -10 + 10 = 0 0 + -1b = 0 + 10 -1b = 0 + 10 Combine like terms: 0 + 10 = 10 -1b = 10 Divide each side by '-1'. b = -10 Simplifying b = -10Subproblem 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 = {-10, 11}
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