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Simplifying b2 = 10b + -16 Reorder the terms: b2 = -16 + 10b Solving b2 = -16 + 10b Solving for variable 'b'. Reorder the terms: 16 + -10b + b2 = -16 + 10b + 16 + -10b Reorder the terms: 16 + -10b + b2 = -16 + 16 + 10b + -10b Combine like terms: -16 + 16 = 0 16 + -10b + b2 = 0 + 10b + -10b 16 + -10b + b2 = 10b + -10b Combine like terms: 10b + -10b = 0 16 + -10b + b2 = 0 Factor a trinomial. (2 + -1b)(8 + -1b) = 0Subproblem 1
Set the factor '(2 + -1b)' equal to zero and attempt to solve: Simplifying 2 + -1b = 0 Solving 2 + -1b = 0 Move all terms containing b to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1b = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1b = 0 + -2 -1b = 0 + -2 Combine like terms: 0 + -2 = -2 -1b = -2 Divide each side by '-1'. b = 2 Simplifying b = 2Subproblem 2
Set the factor '(8 + -1b)' equal to zero and attempt to solve: Simplifying 8 + -1b = 0 Solving 8 + -1b = 0 Move all terms containing b to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1b = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1b = 0 + -8 -1b = 0 + -8 Combine like terms: 0 + -8 = -8 -1b = -8 Divide each side by '-1'. b = 8 Simplifying b = 8Solution
b = {2, 8}
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