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Simplifying 10b + -3bc + 5b = 0 Reorder the terms: 10b + 5b + -3bc = 0 Combine like terms: 10b + 5b = 15b 15b + -3bc = 0 Solving 15b + -3bc = 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(5 + -1c) = 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 '(5 + -1c)' equal to zero and attempt to solve: Simplifying 5 + -1c = 0 Solving 5 + -1c = 0 Move all terms containing b to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1c = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1c = 0 + -5 -1c = 0 + -5 Combine like terms: 0 + -5 = -5 -1c = -5 Add 'c' to each side of the equation. -1c + c = -5 + c Combine like terms: -1c + c = 0 0 = -5 + c Simplifying 0 = -5 + c 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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