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Simplifying 6bc + 2b = 0 Reorder the terms: 2b + 6bc = 0 Solving 2b + 6bc = 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 + 3c) = 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 + 3c)' equal to zero and attempt to solve: Simplifying 1 + 3c = 0 Solving 1 + 3c = 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 + 3c = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 3c = 0 + -1 3c = 0 + -1 Combine like terms: 0 + -1 = -1 3c = -1 Add '-3c' to each side of the equation. 3c + -3c = -1 + -3c Combine like terms: 3c + -3c = 0 0 = -1 + -3c Simplifying 0 = -1 + -3c 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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