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

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

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

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

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

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

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

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

Solving
x2 = -18 + 2x2

Solving for variable 'x'.

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

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

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

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

Divide each side by '-1'.
x2 = 18

Simplifying
x2 = 18

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