x*2-x-1=0

Solution for x*2-x-1=0 equation:

Simplifying
x * 2 + -1x + -1 = 0

Reorder the terms for easier multiplication:
2x + -1x + -1 = 0

Reorder the terms:
-1 + 2x + -1x = 0

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

Solving
-1 + 1x = 0

Solving for variable 'x'.

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

Add '1' to each side of the equation.
-1 + 1 + 1x = 0 + 1

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

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

Divide each side by '1'.
x = 1

Simplifying
x = 1