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Simplifying x2y + x2 + -1xy2 + xy + 2x = 0 Reorder the terms: 2x + xy + -1xy2 + x2 + x2y = 0 Solving 2x + xy + -1xy2 + x2 + x2y = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'x'. x(2 + y + -1y2 + x + xy) = 0Subproblem 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 '(2 + y + -1y2 + x + xy)' equal to zero and attempt to solve: Simplifying 2 + y + -1y2 + x + xy = 0 Reorder the terms: 2 + x + xy + y + -1y2 = 0 Solving 2 + x + xy + y + -1y2 = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + x + xy + y + -2 + -1y2 = 0 + -2 Reorder the terms: 2 + -2 + x + xy + y + -1y2 = 0 + -2 Combine like terms: 2 + -2 = 0 0 + x + xy + y + -1y2 = 0 + -2 x + xy + y + -1y2 = 0 + -2 Combine like terms: 0 + -2 = -2 x + xy + y + -1y2 = -2 Add '-1y' to each side of the equation. x + xy + y + -1y + -1y2 = -2 + -1y Combine like terms: y + -1y = 0 x + xy + 0 + -1y2 = -2 + -1y x + xy + -1y2 = -2 + -1y Add 'y2' to each side of the equation. x + xy + -1y2 + y2 = -2 + -1y + y2 Combine like terms: -1y2 + y2 = 0 x + xy + 0 = -2 + -1y + y2 x + xy = -2 + -1y + y2 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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