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Simplifying 6b3 + -18b2 + -924b = 0 Reorder the terms: -924b + -18b2 + 6b3 = 0 Solving -924b + -18b2 + 6b3 = 0 Solving for variable 'b'. Factor out the Greatest Common Factor (GCF), '6b'. 6b(-154 + -3b + b2) = 0 Factor a trinomial. 6b((-11 + -1b)(14 + -1b)) = 0 Ignore the factor 6.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 '(-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 = -11Subproblem 3
Set the factor '(14 + -1b)' equal to zero and attempt to solve: Simplifying 14 + -1b = 0 Solving 14 + -1b = 0 Move all terms containing b to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + -1b = 0 + -14 Combine like terms: 14 + -14 = 0 0 + -1b = 0 + -14 -1b = 0 + -14 Combine like terms: 0 + -14 = -14 -1b = -14 Divide each side by '-1'. b = 14 Simplifying b = 14Solution
b = {0, -11, 14}
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