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Simplifying 6bc + -3b + -1(4bc + -7b) = 0 Reorder the terms: 6bc + -3b + -1(-7b + 4bc) = 0 6bc + -3b + (-7b * -1 + 4bc * -1) = 0 6bc + -3b + (7b + -4bc) = 0 Reorder the terms: -3b + 7b + 6bc + -4bc = 0 Combine like terms: -3b + 7b = 4b 4b + 6bc + -4bc = 0 Combine like terms: 6bc + -4bc = 2bc 4b + 2bc = 0 Solving 4b + 2bc = 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(2 + c) = 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 '(2 + c)' equal to zero and attempt to solve: Simplifying 2 + c = 0 Solving 2 + c = 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 + c = 0 + -2 Combine like terms: 2 + -2 = 0 0 + c = 0 + -2 c = 0 + -2 Combine like terms: 0 + -2 = -2 c = -2 Add '-1c' to each side of the equation. c + -1c = -2 + -1c Combine like terms: c + -1c = 0 0 = -2 + -1c Simplifying 0 = -2 + -1c 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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