x=x-x*x

Solution for x=x-x*x equation:

Simplifying
x = x + -1x * x

Multiply x * x
x = x + -1x2

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

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

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

Solving
0 = -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.
0 + x2 = -1x2 + x2
Remove the zero:
x2 = -1x2 + x2

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

Simplifying
x2 = 0

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