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Simplifying b2 + 2b = 168 Reorder the terms: 2b + b2 = 168 Solving 2b + b2 = 168 Solving for variable 'b'. Reorder the terms: -168 + 2b + b2 = 168 + -168 Combine like terms: 168 + -168 = 0 -168 + 2b + b2 = 0 Factor a trinomial. (-14 + -1b)(12 + -1b) = 0Subproblem 1
Set the factor '(-14 + -1b)' equal to zero and attempt to solve: Simplifying -14 + -1b = 0 Solving -14 + -1b = 0 Move all terms containing b to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + -1b = 0 + 14 Combine like terms: -14 + 14 = 0 0 + -1b = 0 + 14 -1b = 0 + 14 Combine like terms: 0 + 14 = 14 -1b = 14 Divide each side by '-1'. b = -14 Simplifying b = -14Subproblem 2
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 = 12Solution
b = {-14, 12}
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