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Simplifying -1b2 + -6b + 91 = 0 Reorder the terms: 91 + -6b + -1b2 = 0 Solving 91 + -6b + -1b2 = 0 Solving for variable 'b'. Factor a trinomial. (7 + -1b)(13 + b) = 0Subproblem 1
Set the factor '(7 + -1b)' equal to zero and attempt to solve: Simplifying 7 + -1b = 0 Solving 7 + -1b = 0 Move all terms containing b to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -1b = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1b = 0 + -7 -1b = 0 + -7 Combine like terms: 0 + -7 = -7 -1b = -7 Divide each side by '-1'. b = 7 Simplifying b = 7Subproblem 2
Set the factor '(13 + b)' equal to zero and attempt to solve: Simplifying 13 + b = 0 Solving 13 + b = 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 + b = 0 + -13 Combine like terms: 13 + -13 = 0 0 + b = 0 + -13 b = 0 + -13 Combine like terms: 0 + -13 = -13 b = -13 Simplifying b = -13Solution
b = {7, -13}
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