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Simplifying 0 = 8b(2 + -3C) 0 = (2 * 8b + -3C * 8b) 0 = (16b + -24bC) Solving 0 = 16b + -24bC Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-16b' to each side of the equation. 0 + -16b = 16b + -16b + -24bC Remove the zero: -16b = 16b + -16b + -24bC Combine like terms: 16b + -16b = 0 -16b = 0 + -24bC -16b = -24bC Add '24bC' to each side of the equation. -16b + 24bC = -24bC + 24bC Combine like terms: -24bC + 24bC = 0 -16b + 24bC = 0 Factor out the Greatest Common Factor (GCF), '8b'. 8b(-2 + 3C) = 0 Ignore the factor 8.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 + 3C)' equal to zero and attempt to solve: Simplifying -2 + 3C = 0 Solving -2 + 3C = 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 + 3C = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 3C = 0 + 2 3C = 0 + 2 Combine like terms: 0 + 2 = 2 3C = 2 Add '-3C' to each side of the equation. 3C + -3C = 2 + -3C Combine like terms: 3C + -3C = 0 0 = 2 + -3C Simplifying 0 = 2 + -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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