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Simplifying xy + x2y + 3xy + -2x2y + 3x2y + -2xy = 0 Reorder the terms: xy + 3xy + -2xy + x2y + -2x2y + 3x2y = 0 Combine like terms: xy + 3xy = 4xy 4xy + -2xy + x2y + -2x2y + 3x2y = 0 Combine like terms: 4xy + -2xy = 2xy 2xy + x2y + -2x2y + 3x2y = 0 Combine like terms: x2y + -2x2y = -1x2y 2xy + -1x2y + 3x2y = 0 Combine like terms: -1x2y + 3x2y = 2x2y 2xy + 2x2y = 0 Solving 2xy + 2x2y = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '2xy'. 2xy(1 + x) = 0 Ignore the factor 2.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 '(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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