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Simplifying b2 + -5b = 2b + 18 Reorder the terms: -5b + b2 = 2b + 18 Reorder the terms: -5b + b2 = 18 + 2b Solving -5b + b2 = 18 + 2b Solving for variable 'b'. Reorder the terms: -18 + -5b + -2b + b2 = 18 + 2b + -18 + -2b Combine like terms: -5b + -2b = -7b -18 + -7b + b2 = 18 + 2b + -18 + -2b Reorder the terms: -18 + -7b + b2 = 18 + -18 + 2b + -2b Combine like terms: 18 + -18 = 0 -18 + -7b + b2 = 0 + 2b + -2b -18 + -7b + b2 = 2b + -2b Combine like terms: 2b + -2b = 0 -18 + -7b + b2 = 0 Factor a trinomial. (-2 + -1b)(9 + -1b) = 0Subproblem 1
Set the factor '(-2 + -1b)' equal to zero and attempt to solve: Simplifying -2 + -1b = 0 Solving -2 + -1b = 0 Move all terms containing b to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -1b = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -1b = 0 + 2 -1b = 0 + 2 Combine like terms: 0 + 2 = 2 -1b = 2 Divide each side by '-1'. b = -2 Simplifying b = -2Subproblem 2
Set the factor '(9 + -1b)' equal to zero and attempt to solve: Simplifying 9 + -1b = 0 Solving 9 + -1b = 0 Move all terms containing b to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -1b = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1b = 0 + -9 -1b = 0 + -9 Combine like terms: 0 + -9 = -9 -1b = -9 Divide each side by '-1'. b = 9 Simplifying b = 9Solution
b = {-2, 9}
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