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Simplifying 3(4x + -2) + -1b(2 + -4x) = 0 Reorder the terms: 3(-2 + 4x) + -1b(2 + -4x) = 0 (-2 * 3 + 4x * 3) + -1b(2 + -4x) = 0 (-6 + 12x) + -1b(2 + -4x) = 0 -6 + 12x + (2 * -1b + -4x * -1b) = 0 -6 + 12x + (-2b + 4bx) = 0 Reorder the terms: -6 + -2b + 4bx + 12x = 0 Solving -6 + -2b + 4bx + 12x = 0 Solving for variable 'b'. Move all terms containing b to the left, all other terms to the right. Add '6' to each side of the equation. -6 + -2b + 4bx + 6 + 12x = 0 + 6 Reorder the terms: -6 + 6 + -2b + 4bx + 12x = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -2b + 4bx + 12x = 0 + 6 -2b + 4bx + 12x = 0 + 6 Combine like terms: 0 + 6 = 6 -2b + 4bx + 12x = 6 Add '-12x' to each side of the equation. -2b + 4bx + 12x + -12x = 6 + -12x Combine like terms: 12x + -12x = 0 -2b + 4bx + 0 = 6 + -12x -2b + 4bx = 6 + -12x Reorder the terms: -6 + -2b + 4bx + 12x = 6 + -12x + -6 + 12x Reorder the terms: -6 + -2b + 4bx + 12x = 6 + -6 + -12x + 12x Combine like terms: 6 + -6 = 0 -6 + -2b + 4bx + 12x = 0 + -12x + 12x -6 + -2b + 4bx + 12x = -12x + 12x Combine like terms: -12x + 12x = 0 -6 + -2b + 4bx + 12x = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-3 + -1b + 2bx + 6x) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-3 + -1b + 2bx + 6x)' equal to zero and attempt to solve: Simplifying -3 + -1b + 2bx + 6x = 0 Solving -3 + -1b + 2bx + 6x = 0 Move all terms containing b to the left, all other terms to the right. Add '3' to each side of the equation. -3 + -1b + 2bx + 3 + 6x = 0 + 3 Reorder the terms: -3 + 3 + -1b + 2bx + 6x = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -1b + 2bx + 6x = 0 + 3 -1b + 2bx + 6x = 0 + 3 Combine like terms: 0 + 3 = 3 -1b + 2bx + 6x = 3 Add '-6x' to each side of the equation. -1b + 2bx + 6x + -6x = 3 + -6x Combine like terms: 6x + -6x = 0 -1b + 2bx + 0 = 3 + -6x -1b + 2bx = 3 + -6x The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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