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

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

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

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

Multiply (1 + -1x) * (1 + -1x)
x(1(1 + -1x) + -1x * (1 + -1x)) = 1
x((1 * 1 + -1x * 1) + -1x * (1 + -1x)) = 1
x((1 + -1x) + -1x * (1 + -1x)) = 1
x(1 + -1x + (1 * -1x + -1x * -1x)) = 1
x(1 + -1x + (-1x + 1x2)) = 1

Combine like terms: -1x + -1x = -2x
x(1 + -2x + 1x2) = 1
(1 * x + -2x * x + 1x2 * x) = 1
(1x + -2x2 + 1x3) = 1

Solving
1x + -2x2 + 1x3 = 1

Solving for variable 'x'.

Reorder the terms:
-1 + 1x + -2x2 + 1x3 = 1 + -1

Combine like terms: 1 + -1 = 0
-1 + 1x + -2x2 + 1x3 = 0

The solution to this equation could not be determined.