(X-1)x(x-1)=

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

Simplifying
(X + -1) * x(x + -1) = 0

Reorder the terms:
(-1 + X) * x(x + -1) = 0

Reorder the terms:
(-1 + X) * x(-1 + x) = 0

Reorder the terms for easier multiplication:
x(-1 + X)(-1 + x) = 0

Multiply (-1 + X) * (-1 + x)
x(-1(-1 + x) + X(-1 + x)) = 0
x((-1 * -1 + x * -1) + X(-1 + x)) = 0
x((1 + -1x) + X(-1 + x)) = 0
x(1 + -1x + (-1 * X + x * X)) = 0
x(1 + -1x + (-1X + xX)) = 0

Reorder the terms:
x(1 + -1X + -1x + xX) = 0
x(1 + -1X + -1x + xX) = 0
(1 * x + -1X * x + -1x * x + xX * x) = 0
(1x + -1xX + -1x2 + x2X) = 0

Solving
1x + -1xX + -1x2 + x2X = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(1 + -1X + -1x + xX) = 0

Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0
Subproblem 2
Set the factor '(1 + -1X + -1x + xX)' equal to zero and attempt to solve:

Simplifying
1 + -1X + -1x + xX = 0

Solving
1 + -1X + -1x + xX = 0

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

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

Reorder the terms:
1 + -1 + -1X + -1x + xX = 0 + -1

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

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

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

Reorder the terms:
-1X + X + -1x + xX = -1 + X

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

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
x = {0}