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Simplifying b2 + -18b + 59 = -6 Reorder the terms: 59 + -18b + b2 = -6 Solving 59 + -18b + b2 = -6 Solving for variable 'b'. Reorder the terms: 59 + 6 + -18b + b2 = -6 + 6 Combine like terms: 59 + 6 = 65 65 + -18b + b2 = -6 + 6 Combine like terms: -6 + 6 = 0 65 + -18b + b2 = 0 Factor a trinomial. (5 + -1b)(13 + -1b) = 0Subproblem 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 '(13 + -1b)' equal to zero and attempt to solve: Simplifying 13 + -1b = 0 Solving 13 + -1b = 0 Move all terms containing b to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + -1b = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -1b = 0 + -13 -1b = 0 + -13 Combine like terms: 0 + -13 = -13 -1b = -13 Divide each side by '-1'. b = 13 Simplifying b = 13Solution
b = {5, 13}
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