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Simplifying 6x(2X + 3) = 0 Reorder the terms: 6x(3 + 2X) = 0 (3 * 6x + 2X * 6x) = 0 (18x + 12xX) = 0 Solving 18x + 12xX = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), '6x'. 6x(3 + 2X) = 0 Ignore the factor 6.Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 2
Set the factor '(3 + 2X)' equal to zero and attempt to solve: Simplifying 3 + 2X = 0 Solving 3 + 2X = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 2X = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 2X = 0 + -3 2X = 0 + -3 Combine like terms: 0 + -3 = -3 2X = -3 Add '-2X' to each side of the equation. 2X + -2X = -3 + -2X Combine like terms: 2X + -2X = 0 0 = -3 + -2X Simplifying 0 = -3 + -2X The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
x = {0}
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