-x(-x+x-x)=1

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

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

Combine like terms: -1x + x = 0
-1x(0 + -1x) = 1
-1x(-1x) = 1

Remove parenthesis around (-1x)
-1x * -1x = 1

Reorder the terms for easier multiplication:
-1 * -1x * x = 1

Multiply -1 * -1
1x * x = 1

Multiply x * x
1x2 = 1

Solving
1x2 = 1

Solving for variable 'x'.

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

Divide each side by '1'.
x2 = 1

Simplifying
x2 = 1

Take the square root of each side:
x = {-1, 1}