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Simplifying b2 = 15 + 14b Solving b2 = 15 + 14b Solving for variable 'b'. Reorder the terms: -15 + -14b + b2 = 15 + 14b + -15 + -14b Reorder the terms: -15 + -14b + b2 = 15 + -15 + 14b + -14b Combine like terms: 15 + -15 = 0 -15 + -14b + b2 = 0 + 14b + -14b -15 + -14b + b2 = 14b + -14b Combine like terms: 14b + -14b = 0 -15 + -14b + b2 = 0 Factor a trinomial. (-1 + -1b)(15 + -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 '(15 + -1b)' equal to zero and attempt to solve: Simplifying 15 + -1b = 0 Solving 15 + -1b = 0 Move all terms containing b to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + -1b = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -1b = 0 + -15 -1b = 0 + -15 Combine like terms: 0 + -15 = -15 -1b = -15 Divide each side by '-1'. b = 15 Simplifying b = 15Solution
b = {-1, 15}
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