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Simplifying b2 + 20b = 96 Reorder the terms: 20b + b2 = 96 Solving 20b + b2 = 96 Solving for variable 'b'. Reorder the terms: -96 + 20b + b2 = 96 + -96 Combine like terms: 96 + -96 = 0 -96 + 20b + b2 = 0 Factor a trinomial. (-24 + -1b)(4 + -1b) = 0Subproblem 1
Set the factor '(-24 + -1b)' equal to zero and attempt to solve: Simplifying -24 + -1b = 0 Solving -24 + -1b = 0 Move all terms containing b to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 24 + -1b = 0 + 24 Combine like terms: -24 + 24 = 0 0 + -1b = 0 + 24 -1b = 0 + 24 Combine like terms: 0 + 24 = 24 -1b = 24 Divide each side by '-1'. b = -24 Simplifying b = -24Subproblem 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 = {-24, 4}
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