(X-2)(xy+4)=1

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Solution for (X-2)(xy+4)=1 equation:


Simplifying
(X + -2)(xy + 4) = 1

Reorder the terms:
(-2 + X)(xy + 4) = 1

Reorder the terms:
(-2 + X)(4 + xy) = 1

Multiply (-2 + X) * (4 + xy)
(-2(4 + xy) + X(4 + xy)) = 1
((4 * -2 + xy * -2) + X(4 + xy)) = 1
((-8 + -2xy) + X(4 + xy)) = 1
(-8 + -2xy + (4 * X + xy * X)) = 1
(-8 + -2xy + (4X + xyX)) = 1

Reorder the terms:
(-8 + 4X + -2xy + xyX) = 1
(-8 + 4X + -2xy + xyX) = 1

Solving
-8 + 4X + -2xy + xyX = 1

Solving for variable 'X'.

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

Add '8' to each side of the equation.
-8 + 4X + -2xy + 8 + xyX = 1 + 8

Reorder the terms:
-8 + 8 + 4X + -2xy + xyX = 1 + 8

Combine like terms: -8 + 8 = 0
0 + 4X + -2xy + xyX = 1 + 8
4X + -2xy + xyX = 1 + 8

Combine like terms: 1 + 8 = 9
4X + -2xy + xyX = 9

Add '2xy' to each side of the equation.
4X + -2xy + 2xy + xyX = 9 + 2xy

Combine like terms: -2xy + 2xy = 0
4X + 0 + xyX = 9 + 2xy
4X + xyX = 9 + 2xy

Reorder the terms:
-9 + 4X + -2xy + xyX = 9 + 2xy + -9 + -2xy

Reorder the terms:
-9 + 4X + -2xy + xyX = 9 + -9 + 2xy + -2xy

Combine like terms: 9 + -9 = 0
-9 + 4X + -2xy + xyX = 0 + 2xy + -2xy
-9 + 4X + -2xy + xyX = 2xy + -2xy

Combine like terms: 2xy + -2xy = 0
-9 + 4X + -2xy + xyX = 0

The solution to this equation could not be determined.

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