z^2-2zy+1=0

Solution for z^2-2zy+1=0 equation:

Simplifying
z2 + -2zy + 1 = 0

Reorder the terms:
1 + -2yz + z2 = 0

Solving
1 + -2yz + z2 = 0

Solving for variable 'y'.

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

Add '-1' to each side of the equation.
1 + -2yz + -1 + z2 = 0 + -1

Reorder the terms:
1 + -1 + -2yz + z2 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -2yz + z2 = 0 + -1
-2yz + z2 = 0 + -1

Combine like terms: 0 + -1 = -1
-2yz + z2 = -1

Add '-1z2' to each side of the equation.
-2yz + z2 + -1z2 = -1 + -1z2

Combine like terms: z2 + -1z2 = 0
-2yz + 0 = -1 + -1z2
-2yz = -1 + -1z2

Divide each side by '-2z'.
y = 0.5z-1 + 0.5z

Simplifying
y = 0.5z-1 + 0.5z