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Simplifying 3(X + 2)(2x + 1) = 0 Reorder the terms: 3(2 + X)(2x + 1) = 0 Reorder the terms: 3(2 + X)(1 + 2x) = 0 Multiply (2 + X) * (1 + 2x) 3(2(1 + 2x) + X(1 + 2x)) = 0 3((1 * 2 + 2x * 2) + X(1 + 2x)) = 0 3((2 + 4x) + X(1 + 2x)) = 0 3(2 + 4x + (1 * X + 2x * X)) = 0 3(2 + 4x + (1X + 2xX)) = 0 Reorder the terms: 3(2 + 1X + 4x + 2xX) = 0 3(2 + 1X + 4x + 2xX) = 0 (2 * 3 + 1X * 3 + 4x * 3 + 2xX * 3) = 0 (6 + 3X + 12x + 6xX) = 0 Solving 6 + 3X + 12x + 6xX = 0 Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + 3X + 12x + -6 + 6xX = 0 + -6 Reorder the terms: 6 + -6 + 3X + 12x + 6xX = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 3X + 12x + 6xX = 0 + -6 3X + 12x + 6xX = 0 + -6 Combine like terms: 0 + -6 = -6 3X + 12x + 6xX = -6 Add '-12x' to each side of the equation. 3X + 12x + -12x + 6xX = -6 + -12x Combine like terms: 12x + -12x = 0 3X + 0 + 6xX = -6 + -12x 3X + 6xX = -6 + -12x Reorder the terms: 6 + 3X + 12x + 6xX = -6 + -12x + 6 + 12x Reorder the terms: 6 + 3X + 12x + 6xX = -6 + 6 + -12x + 12x Combine like terms: -6 + 6 = 0 6 + 3X + 12x + 6xX = 0 + -12x + 12x 6 + 3X + 12x + 6xX = -12x + 12x Combine like terms: -12x + 12x = 0 6 + 3X + 12x + 6xX = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(2 + X + 4x + 2xX) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(2 + X + 4x + 2xX)' equal to zero and attempt to solve: Simplifying 2 + X + 4x + 2xX = 0 Solving 2 + X + 4x + 2xX = 0 Move all terms containing X to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + X + 4x + -2 + 2xX = 0 + -2 Reorder the terms: 2 + -2 + X + 4x + 2xX = 0 + -2 Combine like terms: 2 + -2 = 0 0 + X + 4x + 2xX = 0 + -2 X + 4x + 2xX = 0 + -2 Combine like terms: 0 + -2 = -2 X + 4x + 2xX = -2 Add '-4x' to each side of the equation. X + 4x + -4x + 2xX = -2 + -4x Combine like terms: 4x + -4x = 0 X + 0 + 2xX = -2 + -4x X + 2xX = -2 + -4x 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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