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Simplifying 4b3 + -12b2 + -1840b = 0 Reorder the terms: -1840b + -12b2 + 4b3 = 0 Solving -1840b + -12b2 + 4b3 = 0 Solving for variable 'b'. Factor out the Greatest Common Factor (GCF), '4b'. 4b(-460 + -3b + b2) = 0 Factor a trinomial. 4b((-20 + -1b)(23 + -1b)) = 0 Ignore the factor 4.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 '(-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 = -20Subproblem 3
Set the factor '(23 + -1b)' equal to zero and attempt to solve: Simplifying 23 + -1b = 0 Solving 23 + -1b = 0 Move all terms containing b to the left, all other terms to the right. Add '-23' to each side of the equation. 23 + -23 + -1b = 0 + -23 Combine like terms: 23 + -23 = 0 0 + -1b = 0 + -23 -1b = 0 + -23 Combine like terms: 0 + -23 = -23 -1b = -23 Divide each side by '-1'. b = 23 Simplifying b = 23Solution
b = {0, -20, 23}
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