x^2+x+1=x+2

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

Simplifying
x2 + x + 1 = x + 2

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

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

Add '-1x' to each side of the equation.
1 + x + -1x + x2 = 2 + x + -1x

Combine like terms: x + -1x = 0
1 + 0 + x2 = 2 + x + -1x
1 + x2 = 2 + x + -1x

Combine like terms: x + -1x = 0
1 + x2 = 2 + 0
1 + x2 = 2

Solving
1 + x2 = 2

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 = 2 + -1

Combine like terms: 1 + -1 = 0
0 + x2 = 2 + -1
x2 = 2 + -1

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

Simplifying
x2 = 1

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