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Simplifying 20b + -1b2 = 91 Solving 20b + -1b2 = 91 Solving for variable 'b'. Reorder the terms: -91 + 20b + -1b2 = 91 + -91 Combine like terms: 91 + -91 = 0 -91 + 20b + -1b2 = 0 Factor a trinomial. (-13 + b)(7 + -1b) = 0Subproblem 1
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 = 13Subproblem 2
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 = 7Solution
b = {13, 7}
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