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