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Simplifying (2x2y2 + xy + -2xy2) + -1(2xy + -2xy2 + x2y) = 0 Reorder the terms: (xy + -2xy2 + 2x2y2) + -1(2xy + -2xy2 + x2y) = 0 Remove parenthesis around (xy + -2xy2 + 2x2y2) xy + -2xy2 + 2x2y2 + -1(2xy + -2xy2 + x2y) = 0 xy + -2xy2 + 2x2y2 + (2xy * -1 + -2xy2 * -1 + x2y * -1) = 0 xy + -2xy2 + 2x2y2 + (-2xy + 2xy2 + -1x2y) = 0 Reorder the terms: xy + -2xy + -2xy2 + 2xy2 + -1x2y + 2x2y2 = 0 Combine like terms: xy + -2xy = -1xy -1xy + -2xy2 + 2xy2 + -1x2y + 2x2y2 = 0 Combine like terms: -2xy2 + 2xy2 = 0 -1xy + 0 + -1x2y + 2x2y2 = 0 -1xy + -1x2y + 2x2y2 = 0 Solving -1xy + -1x2y + 2x2y2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), 'xy'. xy(-1 + -1x + 2xy) = 0Subproblem 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 + -1x + 2xy)' equal to zero and attempt to solve: Simplifying -1 + -1x + 2xy = 0 Solving -1 + -1x + 2xy = 0 Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + -1x + 1 + 2xy = 0 + 1 Reorder the terms: -1 + 1 + -1x + 2xy = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -1x + 2xy = 0 + 1 -1x + 2xy = 0 + 1 Combine like terms: 0 + 1 = 1 -1x + 2xy = 1 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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