(2+x)(y+2)xy=0

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Solution for (2+x)(y+2)xy=0 equation:


Simplifying
(2 + x)(y + 2) * xy = 0

Reorder the terms:
(2 + x)(2 + y) * xy = 0

Reorder the terms for easier multiplication:
xy(2 + x)(2 + y) = 0

Multiply (2 + x) * (2 + y)
xy(2(2 + y) + x(2 + y)) = 0
xy((2 * 2 + y * 2) + x(2 + y)) = 0
xy((4 + 2y) + x(2 + y)) = 0
xy(4 + 2y + (2 * x + y * x)) = 0
xy(4 + 2y + (2x + xy)) = 0

Reorder the terms:
xy(4 + 2x + xy + 2y) = 0
xy(4 + 2x + xy + 2y) = 0
(4 * xy + 2x * xy + xy * xy + 2y * xy) = 0

Reorder the terms:
(4xy + 2xy2 + 2x2y + x2y2) = 0
(4xy + 2xy2 + 2x2y + x2y2) = 0

Solving
4xy + 2xy2 + 2x2y + x2y2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'xy'.
xy(4 + 2y + 2x + xy) = 0

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 '(4 + 2y + 2x + xy)' equal to zero and attempt to solve: Simplifying 4 + 2y + 2x + xy = 0 Reorder the terms: 4 + 2x + xy + 2y = 0 Solving 4 + 2x + xy + 2y = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + 2x + xy + -4 + 2y = 0 + -4 Reorder the terms: 4 + -4 + 2x + xy + 2y = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 2x + xy + 2y = 0 + -4 2x + xy + 2y = 0 + -4 Combine like terms: 0 + -4 = -4 2x + xy + 2y = -4 Add '-2y' to each side of the equation. 2x + xy + 2y + -2y = -4 + -2y Combine like terms: 2y + -2y = 0 2x + xy + 0 = -4 + -2y 2x + xy = -4 + -2y 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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