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Simplifying b2 = 8 + -2b Solving b2 = 8 + -2b Solving for variable 'b'. Reorder the terms: -8 + 2b + b2 = 8 + -2b + -8 + 2b Reorder the terms: -8 + 2b + b2 = 8 + -8 + -2b + 2b Combine like terms: 8 + -8 = 0 -8 + 2b + b2 = 0 + -2b + 2b -8 + 2b + b2 = -2b + 2b Combine like terms: -2b + 2b = 0 -8 + 2b + b2 = 0 Factor a trinomial. (-4 + -1b)(2 + -1b) = 0Subproblem 1
Set the factor '(-4 + -1b)' equal to zero and attempt to solve: Simplifying -4 + -1b = 0 Solving -4 + -1b = 0 Move all terms containing b to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -1b = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -1b = 0 + 4 -1b = 0 + 4 Combine like terms: 0 + 4 = 4 -1b = 4 Divide each side by '-1'. b = -4 Simplifying b = -4Subproblem 2
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 = 2Solution
b = {-4, 2}
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