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Simplifying 6xy(2 + -1x + -1y) = 0 (2 * 6xy + -1x * 6xy + -1y * 6xy) = 0 Reorder the terms: (12xy + -6xy2 + -6x2y) = 0 (12xy + -6xy2 + -6x2y) = 0 Solving 12xy + -6xy2 + -6x2y = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '6xy'. 6xy(2 + -1y + -1x) = 0 Ignore the factor 6.Subproblem 1
Set the factor 'xy' equal to zero and attempt to solve: Simplifying xy = 0 Solving xy = 0 Move all terms containing x to the left, all other terms to the right. Simplifying xy = 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 '(2 + -1y + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1y + -1x = 0 Reorder the terms: 2 + -1x + -1y = 0 Solving 2 + -1x + -1y = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -1x + -2 + -1y = 0 + -2 Reorder the terms: 2 + -2 + -1x + -1y = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x + -1y = 0 + -2 -1x + -1y = 0 + -2 Combine like terms: 0 + -2 = -2 -1x + -1y = -2 Add 'y' to each side of the equation. -1x + -1y + y = -2 + y Combine like terms: -1y + y = 0 -1x + 0 = -2 + y -1x = -2 + y Divide each side by '-1'. x = 2 + -1y Simplifying x = 2 + -1ySolution
x = {2 + -1y}
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