2x^2+x-18=x^2+x

Solution for 2x^2+x-18=x^2+x equation:

Simplifying
2x2 + x + -18 = x2 + x

Reorder the terms:
-18 + x + 2x2 = x2 + x

Reorder the terms:
-18 + x + 2x2 = x + x2

Add '-1x' to each side of the equation.
-18 + x + -1x + 2x2 = x + -1x + x2

Combine like terms: x + -1x = 0
-18 + 0 + 2x2 = x + -1x + x2
-18 + 2x2 = x + -1x + x2

Combine like terms: x + -1x = 0
-18 + 2x2 = 0 + x2
-18 + 2x2 = x2

Solving
-18 + 2x2 = x2

Solving for variable 'x'.

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

Add '-1x2' to each side of the equation.
-18 + 2x2 + -1x2 = x2 + -1x2

Combine like terms: 2x2 + -1x2 = 1x2
-18 + 1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-18 + 1x2 = 0

Add '18' to each side of the equation.
-18 + 18 + 1x2 = 0 + 18

Combine like terms: -18 + 18 = 0
0 + 1x2 = 0 + 18
1x2 = 0 + 18

Combine like terms: 0 + 18 = 18
1x2 = 18

Divide each side by '1'.
x2 = 18

Simplifying
x2 = 18

Take the square root of each side:
x = {-4.242640687, 4.242640687}