x^2+x=x+4

Solution for x^2+x=x+4 equation:

Simplifying
x2 + x = x + 4

Reorder the terms:
x + x2 = x + 4

Reorder the terms:
x + x2 = 4 + x

Add '-1x' to each side of the equation.
x + -1x + x2 = 4 + x + -1x

Combine like terms: x + -1x = 0
0 + x2 = 4 + x + -1x
x2 = 4 + x + -1x

Combine like terms: x + -1x = 0
x2 = 4 + 0
x2 = 4

Solving
x2 = 4

Solving for variable 'x'.

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

Simplifying
x2 = 4

Take the square root of each side:
x = {-2, 2}