2x^2+x=x-x^2

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

Simplifying
2x2 + x = x + -1x2

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

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

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

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

Solving
2x2 = -1x2

Solving for variable 'x'.

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

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

Combine like terms: 2x2 + x2 = 3x2
3x2 = -1x2 + x2

Combine like terms: -1x2 + x2 = 0
3x2 = 0

Divide each side by '3'.
x2 = 0

Simplifying
x2 = 0

Take the square root of each side:
x = {0}