2x^2+x=12+x

Solution for 2x^2+x=12+x equation:

Simplifying
2x2 + x = 12 + x

Reorder the terms:
x + 2x2 = 12 + x

Add '-1x' to each side of the equation.
x + -1x + 2x2 = 12 + x + -1x

Combine like terms: x + -1x = 0
0 + 2x2 = 12 + x + -1x
2x2 = 12 + x + -1x

Combine like terms: x + -1x = 0
2x2 = 12 + 0
2x2 = 12

Solving
2x2 = 12

Solving for variable 'x'.

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

Divide each side by '2'.
x2 = 6

Simplifying
x2 = 6

Take the square root of each side:
x = {-2.449489743, 2.449489743}