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Simplifying 2x2(6xy + -6y) = 0 (6xy * 2x2 + -6y * 2x2) = 0 Reorder the terms: (-12x2y + 12x3y) = 0 (-12x2y + 12x3y) = 0 Solving -12x2y + 12x3y = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '12x2y'. 12x2y(-1 + x) = 0 Ignore the factor 12.Subproblem 1
Set the factor 'x2y' equal to zero and attempt to solve: Simplifying x2y = 0 Solving x2y = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x2y = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(-1 + x)' equal to zero and attempt to solve: Simplifying -1 + x = 0 Solving -1 + x = 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 + x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + x = 0 + 1 x = 0 + 1 Combine like terms: 0 + 1 = 1 x = 1 Simplifying x = 1Solution
x = {1}
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