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Simplifying b2 + -6b + -91 = 0 Reorder the terms: -91 + -6b + b2 = 0 Solving -91 + -6b + b2 = 0 Solving for variable 'b'. Factor a trinomial. (-7 + -1b)(13 + -1b) = 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 + -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 = {-7, 13}
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