x^2+1+1=y^2+2

Solution for x^2+1+1=y^2+2 equation:

Simplifying
x2 + 1 + 1 = y2 + 2

Reorder the terms:
1 + 1 + x2 = y2 + 2

Combine like terms: 1 + 1 = 2
2 + x2 = y2 + 2

Reorder the terms:
2 + x2 = 2 + y2

Add '-2' to each side of the equation.
2 + -2 + x2 = 2 + -2 + y2

Combine like terms: 2 + -2 = 0
0 + x2 = 2 + -2 + y2
x2 = 2 + -2 + y2

Combine like terms: 2 + -2 = 0
x2 = 0 + y2
x2 = y2

Solving
x2 = y2

Solving for variable 'x'.

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

Simplifying
x2 = y2

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