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Simplifying (X + 6)(3x2) = 0 Reorder the terms: (6 + X)(3x2) = 0 Remove parenthesis around (3x2) (6 + X) * 3x2 = 0 Reorder the terms for easier multiplication: 3x2(6 + X) = 0 (6 * 3x2 + X * 3x2) = 0 (18x2 + 3x2X) = 0 Solving 18x2 + 3x2X = 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), '3x2'. 3x2(6 + X) = 0 Ignore the factor 3.Subproblem 1
Set the factor 'x2' equal to zero and attempt to solve: Simplifying x2 = 0 Solving x2 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x2 = 0 Take the square root of each side: x = {0}Subproblem 2
Set the factor '(6 + X)' equal to zero and attempt to solve: Simplifying 6 + X = 0 Solving 6 + X = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + X = 0 + -6 Combine like terms: 6 + -6 = 0 0 + X = 0 + -6 X = 0 + -6 Combine like terms: 0 + -6 = -6 X = -6 Add '-1X' to each side of the equation. X + -1X = -6 + -1X Combine like terms: X + -1X = 0 0 = -6 + -1X Simplifying 0 = -6 + -1X 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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