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Simplifying b2 = -4b + 5 Reorder the terms: b2 = 5 + -4b Solving b2 = 5 + -4b Solving for variable 'b'. Reorder the terms: -5 + 4b + b2 = 5 + -4b + -5 + 4b Reorder the terms: -5 + 4b + b2 = 5 + -5 + -4b + 4b Combine like terms: 5 + -5 = 0 -5 + 4b + b2 = 0 + -4b + 4b -5 + 4b + b2 = -4b + 4b Combine like terms: -4b + 4b = 0 -5 + 4b + b2 = 0 Factor a trinomial. (-5 + -1b)(1 + -1b) = 0Subproblem 1
Set the factor '(-5 + -1b)' equal to zero and attempt to solve: Simplifying -5 + -1b = 0 Solving -5 + -1b = 0 Move all terms containing b to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -1b = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -1b = 0 + 5 -1b = 0 + 5 Combine like terms: 0 + 5 = 5 -1b = 5 Divide each side by '-1'. b = -5 Simplifying b = -5Subproblem 2
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 = 1Solution
b = {-5, 1}
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