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Simplifying b2 = 24 + 2b Solving b2 = 24 + 2b Solving for variable 'b'. Reorder the terms: -24 + -2b + b2 = 24 + 2b + -24 + -2b Reorder the terms: -24 + -2b + b2 = 24 + -24 + 2b + -2b Combine like terms: 24 + -24 = 0 -24 + -2b + b2 = 0 + 2b + -2b -24 + -2b + b2 = 2b + -2b Combine like terms: 2b + -2b = 0 -24 + -2b + b2 = 0 Factor a trinomial. (-4 + -1b)(6 + -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 '(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 = 6Solution
b = {-4, 6}
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