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Simplifying b2 + -26b + 48 = 0 Reorder the terms: 48 + -26b + b2 = 0 Solving 48 + -26b + b2 = 0 Solving for variable 'b'. Factor a trinomial. (2 + -1b)(24 + -1b) = 0Subproblem 1
Set the factor '(2 + -1b)' equal to zero and attempt to solve: Simplifying 2 + -1b = 0 Solving 2 + -1b = 0 Move all terms containing b to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1b = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1b = 0 + -2 -1b = 0 + -2 Combine like terms: 0 + -2 = -2 -1b = -2 Divide each side by '-1'. b = 2 Simplifying b = 2Subproblem 2
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 = 24Solution
b = {2, 24}
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