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Simplifying -3bk2 + 9bk + -6b = 0 Reorder the terms: -6b + 9bk + -3bk2 = 0 Solving -6b + 9bk + -3bk2 = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), '3b'. 3b(-2 + 3k + -1k2) = 0 Factor a trinomial. 3b((-2 + k)(1 + -1k)) = 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 '(-2 + k)' equal to zero and attempt to solve: Simplifying -2 + k = 0 Solving -2 + k = 0 Move all terms containing b to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + k = 0 + 2 Combine like terms: -2 + 2 = 0 0 + k = 0 + 2 k = 0 + 2 Combine like terms: 0 + 2 = 2 k = 2 Add '-1k' to each side of the equation. k + -1k = 2 + -1k Combine like terms: k + -1k = 0 0 = 2 + -1k Simplifying 0 = 2 + -1k The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 3
Set the factor '(1 + -1k)' equal to zero and attempt to solve: Simplifying 1 + -1k = 0 Solving 1 + -1k = 0 Move all terms containing b to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1k = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1k = 0 + -1 -1k = 0 + -1 Combine like terms: 0 + -1 = -1 -1k = -1 Add 'k' to each side of the equation. -1k + k = -1 + k Combine like terms: -1k + k = 0 0 = -1 + k Simplifying 0 = -1 + k The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
b = {0}
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