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Simplifying 3b3 + -9b2 + -810b = 0 Reorder the terms: -810b + -9b2 + 3b3 = 0 Solving -810b + -9b2 + 3b3 = 0 Solving for variable 'b'. Factor out the Greatest Common Factor (GCF), '3b'. 3b(-270 + -3b + b2) = 0 Factor a trinomial. 3b((-15 + -1b)(18 + -1b)) = 0 Ignore the factor 3.Subproblem 1
Set the factor 'b' equal to zero and attempt to solve: Simplifying b = 0 Solving b = 0 Move all terms containing b to the left, all other terms to the right. Simplifying b = 0Subproblem 2
Set the factor '(-15 + -1b)' equal to zero and attempt to solve: Simplifying -15 + -1b = 0 Solving -15 + -1b = 0 Move all terms containing b to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + -1b = 0 + 15 Combine like terms: -15 + 15 = 0 0 + -1b = 0 + 15 -1b = 0 + 15 Combine like terms: 0 + 15 = 15 -1b = 15 Divide each side by '-1'. b = -15 Simplifying b = -15Subproblem 3
Set the factor '(18 + -1b)' equal to zero and attempt to solve: Simplifying 18 + -1b = 0 Solving 18 + -1b = 0 Move all terms containing b to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + -1b = 0 + -18 Combine like terms: 18 + -18 = 0 0 + -1b = 0 + -18 -1b = 0 + -18 Combine like terms: 0 + -18 = -18 -1b = -18 Divide each side by '-1'. b = 18 Simplifying b = 18Solution
b = {0, -15, 18}
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