2x^2+x=x+2

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

Simplifying
2x2 + x = x + 2

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

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

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

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

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

Solving
2x2 = 2

Solving for variable 'x'.

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

Divide each side by '2'.
x2 = 1

Simplifying
x2 = 1

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