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Simplifying -2bk2 + 6bk + -2b = 0 Reorder the terms: -2b + 6bk + -2bk2 = 0 Solving -2b + 6bk + -2bk2 = 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), '2b'. 2b(-1 + 3k + -1k2) = 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 '(-1 + 3k + -1k2)' equal to zero and attempt to solve: Simplifying -1 + 3k + -1k2 = 0 Solving -1 + 3k + -1k2 = 0 Move all terms containing b to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 3k + 1 + -1k2 = 0 + 1 Reorder the terms: -1 + 1 + 3k + -1k2 = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 3k + -1k2 = 0 + 1 3k + -1k2 = 0 + 1 Combine like terms: 0 + 1 = 1 3k + -1k2 = 1 Add '-3k' to each side of the equation. 3k + -3k + -1k2 = 1 + -3k Combine like terms: 3k + -3k = 0 0 + -1k2 = 1 + -3k -1k2 = 1 + -3k Add 'k2' to each side of the equation. -1k2 + k2 = 1 + -3k + k2 Combine like terms: -1k2 + k2 = 0 0 = 1 + -3k + k2 Simplifying 0 = 1 + -3k + k2 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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