X^2+2xy-2xy-1=0

Solution for X^2+2xy-2xy-1=0 equation:

Simplifying
X2 + 2xy + -2xy + -1 = 0

Reorder the terms:
-1 + X2 + 2xy + -2xy = 0

Combine like terms: 2xy + -2xy = 0
-1 + X2 + 0 = 0
-1 + X2 = 0

Solving
-1 + X2 = 0

Solving for variable 'X'.

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

Add '1' to each side of the equation.
-1 + 1 + X2 = 0 + 1

Combine like terms: -1 + 1 = 0
0 + X2 = 0 + 1
X2 = 0 + 1

Combine like terms: 0 + 1 = 1
X2 = 1

Simplifying
X2 = 1

Take the square root of each side:
X = {-1, 1}