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Simplifying 27b2 + -93b + -60 = 0 Reorder the terms: -60 + -93b + 27b2 = 0 Solving -60 + -93b + 27b2 = 0 Solving for variable 'b'. Factor out the Greatest Common Factor (GCF), '3'. 3(-20 + -31b + 9b2) = 0 Factor a trinomial. 3((-5 + -9b)(4 + -1b)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-5 + -9b)' equal to zero and attempt to solve: Simplifying -5 + -9b = 0 Solving -5 + -9b = 0 Move all terms containing b to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -9b = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -9b = 0 + 5 -9b = 0 + 5 Combine like terms: 0 + 5 = 5 -9b = 5 Divide each side by '-9'. b = -0.5555555556 Simplifying b = -0.5555555556Subproblem 2
Set the factor '(4 + -1b)' equal to zero and attempt to solve: Simplifying 4 + -1b = 0 Solving 4 + -1b = 0 Move all terms containing b to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1b = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1b = 0 + -4 -1b = 0 + -4 Combine like terms: 0 + -4 = -4 -1b = -4 Divide each side by '-1'. b = 4 Simplifying b = 4Solution
b = {-0.5555555556, 4}
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