6=2x+4yx+2y

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Solution for 6=2x+4yx+2y equation:


Simplifying
6 = 2x + 4yx + 2y

Solving
6 = 2x + 4xy + 2y

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-2x' to each side of the equation.
6 + -2x = 2x + 4xy + -2x + 2y

Reorder the terms:
6 + -2x = 2x + -2x + 4xy + 2y

Combine like terms: 2x + -2x = 0
6 + -2x = 0 + 4xy + 2y
6 + -2x = 4xy + 2y

Add '-4xy' to each side of the equation.
6 + -2x + -4xy = 4xy + -4xy + 2y

Combine like terms: 4xy + -4xy = 0
6 + -2x + -4xy = 0 + 2y
6 + -2x + -4xy = 2y

Add '-6' to each side of the equation.
6 + -2x + -6 + -4xy = -6 + 2y

Reorder the terms:
6 + -6 + -2x + -4xy = -6 + 2y

Combine like terms: 6 + -6 = 0
0 + -2x + -4xy = -6 + 2y
-2x + -4xy = -6 + 2y

Reorder the terms:
6 + -2x + -4xy + -2y = -6 + 2y + 6 + -2y

Reorder the terms:
6 + -2x + -4xy + -2y = -6 + 6 + 2y + -2y

Combine like terms: -6 + 6 = 0
6 + -2x + -4xy + -2y = 0 + 2y + -2y
6 + -2x + -4xy + -2y = 2y + -2y

Combine like terms: 2y + -2y = 0
6 + -2x + -4xy + -2y = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(3 + -1x + -2xy + -1y) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(3 + -1x + -2xy + -1y)' equal to zero and attempt to solve: Simplifying 3 + -1x + -2xy + -1y = 0 Solving 3 + -1x + -2xy + -1y = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -1x + -2xy + -3 + -1y = 0 + -3 Reorder the terms: 3 + -3 + -1x + -2xy + -1y = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x + -2xy + -1y = 0 + -3 -1x + -2xy + -1y = 0 + -3 Combine like terms: 0 + -3 = -3 -1x + -2xy + -1y = -3 Add 'y' to each side of the equation. -1x + -2xy + -1y + y = -3 + y Combine like terms: -1y + y = 0 -1x + -2xy + 0 = -3 + y -1x + -2xy = -3 + y 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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