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Simplifying b2 + b = 132 Reorder the terms: b + b2 = 132 Solving b + b2 = 132 Solving for variable 'b'. Reorder the terms: -132 + b + b2 = 132 + -132 Combine like terms: 132 + -132 = 0 -132 + b + b2 = 0 Factor a trinomial. (-12 + -1b)(11 + -1b) = 0Subproblem 1
Set the factor '(-12 + -1b)' equal to zero and attempt to solve: Simplifying -12 + -1b = 0 Solving -12 + -1b = 0 Move all terms containing b to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + -1b = 0 + 12 Combine like terms: -12 + 12 = 0 0 + -1b = 0 + 12 -1b = 0 + 12 Combine like terms: 0 + 12 = 12 -1b = 12 Divide each side by '-1'. b = -12 Simplifying b = -12Subproblem 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 = {-12, 11}
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