2x+2y+6=(x)(y)+3

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Solution for 2x+2y+6=(x)(y)+3 equation:


Simplifying
2x + 2y + 6 = (x)(y) + 3

Reorder the terms:
6 + 2x + 2y = (x)(y) + 3

Multiply x * y
6 + 2x + 2y = xy + 3

Reorder the terms:
6 + 2x + 2y = 3 + xy

Solving
6 + 2x + 2y = 3 + xy

Solving for variable 'x'.

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

Add '-1xy' to each side of the equation.
6 + 2x + -1xy + 2y = 3 + xy + -1xy

Combine like terms: xy + -1xy = 0
6 + 2x + -1xy + 2y = 3 + 0
6 + 2x + -1xy + 2y = 3

Add '-6' to each side of the equation.
6 + 2x + -1xy + -6 + 2y = 3 + -6

Reorder the terms:
6 + -6 + 2x + -1xy + 2y = 3 + -6

Combine like terms: 6 + -6 = 0
0 + 2x + -1xy + 2y = 3 + -6
2x + -1xy + 2y = 3 + -6

Combine like terms: 3 + -6 = -3
2x + -1xy + 2y = -3

Add '-2y' to each side of the equation.
2x + -1xy + 2y + -2y = -3 + -2y

Combine like terms: 2y + -2y = 0
2x + -1xy + 0 = -3 + -2y
2x + -1xy = -3 + -2y

Reorder the terms:
3 + 2x + -1xy + 2y = -3 + -2y + 3 + 2y

Reorder the terms:
3 + 2x + -1xy + 2y = -3 + 3 + -2y + 2y

Combine like terms: -3 + 3 = 0
3 + 2x + -1xy + 2y = 0 + -2y + 2y
3 + 2x + -1xy + 2y = -2y + 2y

Combine like terms: -2y + 2y = 0
3 + 2x + -1xy + 2y = 0

The solution to this equation could not be determined.

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