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Simplifying b(b + 2) = 24 Reorder the terms: b(2 + b) = 24 (2 * b + b * b) = 24 (2b + b2) = 24 Solving 2b + b2 = 24 Solving for variable 'b'. Reorder the terms: -24 + 2b + b2 = 24 + -24 Combine like terms: 24 + -24 = 0 -24 + 2b + b2 = 0 Factor a trinomial. (-6 + -1b)(4 + -1b) = 0Subproblem 1
Set the factor '(-6 + -1b)' equal to zero and attempt to solve: Simplifying -6 + -1b = 0 Solving -6 + -1b = 0 Move all terms containing b to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + -1b = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -1b = 0 + 6 -1b = 0 + 6 Combine like terms: 0 + 6 = 6 -1b = 6 Divide each side by '-1'. b = -6 Simplifying b = -6Subproblem 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 = {-6, 4}
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