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Simplifying 5b3 + -15b2 + -440b = 0 Reorder the terms: -440b + -15b2 + 5b3 = 0 Solving -440b + -15b2 + 5b3 = 0 Solving for variable 'b'. Factor out the Greatest Common Factor (GCF), '5b'. 5b(-88 + -3b + b2) = 0 Factor a trinomial. 5b((-8 + -1b)(11 + -1b)) = 0 Ignore the factor 5.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 '(-8 + -1b)' equal to zero and attempt to solve: Simplifying -8 + -1b = 0 Solving -8 + -1b = 0 Move all terms containing b to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -1b = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -1b = 0 + 8 -1b = 0 + 8 Combine like terms: 0 + 8 = 8 -1b = 8 Divide each side by '-1'. b = -8 Simplifying b = -8Subproblem 3
Set the factor '(11 + -1b)' equal to zero and attempt to solve: Simplifying 11 + -1b = 0 Solving 11 + -1b = 0 Move all terms containing b to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + -1b = 0 + -11 Combine like terms: 11 + -11 = 0 0 + -1b = 0 + -11 -1b = 0 + -11 Combine like terms: 0 + -11 = -11 -1b = -11 Divide each side by '-1'. b = 11 Simplifying b = 11Solution
b = {0, -8, 11}
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