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Simplifying 2bx + -1b = 3b + -1bx Reorder the terms: -1b + 2bx = 3b + -1bx Solving -1b + 2bx = 3b + -1bx Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '-3b' to each side of the equation. -1b + -3b + 2bx = 3b + -3b + -1bx Combine like terms: -1b + -3b = -4b -4b + 2bx = 3b + -3b + -1bx Combine like terms: 3b + -3b = 0 -4b + 2bx = 0 + -1bx -4b + 2bx = -1bx Add 'bx' to each side of the equation. -4b + 2bx + bx = -1bx + bx Combine like terms: 2bx + bx = 3bx -4b + 3bx = -1bx + bx Combine like terms: -1bx + bx = 0 -4b + 3bx = 0 Factor out the Greatest Common Factor (GCF), 'b'. b(-4 + 3x) = 0Subproblem 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 '(-4 + 3x)' equal to zero and attempt to solve: Simplifying -4 + 3x = 0 Solving -4 + 3x = 0 Move all terms containing b to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 3x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 3x = 0 + 4 3x = 0 + 4 Combine like terms: 0 + 4 = 4 3x = 4 Add '-3x' to each side of the equation. 3x + -3x = 4 + -3x Combine like terms: 3x + -3x = 0 0 = 4 + -3x Simplifying 0 = 4 + -3x 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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