y^2=x^2+x+1

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

Simplifying
y2 = x2 + x + 1

Reorder the terms:
y2 = 1 + x + x2

Solving
y2 = 1 + x + x2

Solving for variable 'y'.

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

Simplifying
y2 = 1 + x + x2

Reorder the terms:
-1 + -1x + -1x2 + y2 = 1 + x + x2 + -1 + -1x + -1x2

Reorder the terms:
-1 + -1x + -1x2 + y2 = 1 + -1 + x + -1x + x2 + -1x2

Combine like terms: 1 + -1 = 0
-1 + -1x + -1x2 + y2 = 0 + x + -1x + x2 + -1x2
-1 + -1x + -1x2 + y2 = x + -1x + x2 + -1x2

Combine like terms: x + -1x = 0
-1 + -1x + -1x2 + y2 = 0 + x2 + -1x2
-1 + -1x + -1x2 + y2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-1 + -1x + -1x2 + y2 = 0

The solution to this equation could not be determined.