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Simplifying 2b2 = 26b + -80 Reorder the terms: 2b2 = -80 + 26b Solving 2b2 = -80 + 26b Solving for variable 'b'. Reorder the terms: 80 + -26b + 2b2 = -80 + 26b + 80 + -26b Reorder the terms: 80 + -26b + 2b2 = -80 + 80 + 26b + -26b Combine like terms: -80 + 80 = 0 80 + -26b + 2b2 = 0 + 26b + -26b 80 + -26b + 2b2 = 26b + -26b Combine like terms: 26b + -26b = 0 80 + -26b + 2b2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(40 + -13b + b2) = 0 Factor a trinomial. 2((5 + -1b)(8 + -1b)) = 0 Ignore the factor 2.Subproblem 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 '(8 + -1b)' equal to zero and attempt to solve: Simplifying 8 + -1b = 0 Solving 8 + -1b = 0 Move all terms containing b to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1b = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1b = 0 + -8 -1b = 0 + -8 Combine like terms: 0 + -8 = -8 -1b = -8 Divide each side by '-1'. b = 8 Simplifying b = 8Solution
b = {5, 8}
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