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Simplifying 2b3 + -6b2 + -680b = 0 Reorder the terms: -680b + -6b2 + 2b3 = 0 Solving -680b + -6b2 + 2b3 = 0 Solving for variable 'b'. Factor out the Greatest Common Factor (GCF), '2b'. 2b(-340 + -3b + b2) = 0 Factor a trinomial. 2b((-17 + -1b)(20 + -1b)) = 0 Ignore the factor 2.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 '(-17 + -1b)' equal to zero and attempt to solve: Simplifying -17 + -1b = 0 Solving -17 + -1b = 0 Move all terms containing b to the left, all other terms to the right. Add '17' to each side of the equation. -17 + 17 + -1b = 0 + 17 Combine like terms: -17 + 17 = 0 0 + -1b = 0 + 17 -1b = 0 + 17 Combine like terms: 0 + 17 = 17 -1b = 17 Divide each side by '-1'. b = -17 Simplifying b = -17Subproblem 3
Set the factor '(20 + -1b)' equal to zero and attempt to solve: Simplifying 20 + -1b = 0 Solving 20 + -1b = 0 Move all terms containing b to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + -20 + -1b = 0 + -20 Combine like terms: 20 + -20 = 0 0 + -1b = 0 + -20 -1b = 0 + -20 Combine like terms: 0 + -20 = -20 -1b = -20 Divide each side by '-1'. b = 20 Simplifying b = 20Solution
b = {0, -17, 20}
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