x^2+1=x^2+x

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

Simplifying
x2 + 1 = x2 + x

Reorder the terms:
1 + x2 = x2 + x

Reorder the terms:
1 + x2 = x + x2

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

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

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

Solving
1 = x

Solving for variable 'x'.

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

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

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

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

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

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

Divide each side by '-1'.
x = 1

Simplifying
x = 1