-x=x^2-x-1

Solution for -x=x^2-x-1 equation:

Simplifying
-1x = x2 + -1x + -1

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

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

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

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

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

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

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

Simplifying
x2 = 1

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