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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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