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