x(x+1)-x=2x^2

Solution for x(x+1)-x=2x^2 equation:

Simplifying
x(x + 1) + -1x = 2x2

Reorder the terms:
x(1 + x) + -1x = 2x2
(1 * x + x * x) + -1x = 2x2
(1x + x2) + -1x = 2x2

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

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

Solving
x2 = 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 = 2x2 + -2x2

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

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

Divide each side by '-1'.
x2 = 0

Simplifying
x2 = 0

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