x(x-1)=(x-2)

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

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

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

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

Remove parenthesis around (-2 + x)
-1x + x2 = -2 + x

Solving
-1x + x2 = -2 + x

Solving for variable 'x'.

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

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

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

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

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

Begin completing the square.

Move the constant term to the right:

Add '-2' to each side of the equation.
2 + -2x + -2 + x2 = 0 + -2

Reorder the terms:
2 + -2 + -2x + x2 = 0 + -2

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

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

The x term is -2x.  Take half its coefficient (-1).
Square it (1) and add it to both sides.

Add '1' to each side of the equation.
-2x + 1 + x2 = -2 + 1

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

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

Factor a perfect square on the left side:
(x + -1)(x + -1) = -1

Can't calculate square root of the right side.

The solution to this equation could not be determined.