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Simplifying b2 = 20 + -1b Solving b2 = 20 + -1b Solving for variable 'b'. Reorder the terms: -20 + b + b2 = 20 + -1b + -20 + b Reorder the terms: -20 + b + b2 = 20 + -20 + -1b + b Combine like terms: 20 + -20 = 0 -20 + b + b2 = 0 + -1b + b -20 + b + b2 = -1b + b Combine like terms: -1b + b = 0 -20 + b + b2 = 0 Factor a trinomial. (-5 + -1b)(4 + -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 '(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 = 4Solution
b = {-5, 4}
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