(1-a)(1-a)(-a)=0

Solution for (1-a)(1-a)(-a)=0 equation:

Simplifying
(1 + -1a)(1 + -1a)(-1a) = 0

Remove parenthesis around (-1a)
(1 + -1a)(1 + -1a) * -1a = 0

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

Multiply (1 + -1a) * (1 + -1a)
-1a(1(1 + -1a) + -1a * (1 + -1a)) = 0
-1a((1 * 1 + -1a * 1) + -1a * (1 + -1a)) = 0
-1a((1 + -1a) + -1a * (1 + -1a)) = 0
-1a(1 + -1a + (1 * -1a + -1a * -1a)) = 0
-1a(1 + -1a + (-1a + 1a2)) = 0

Combine like terms: -1a + -1a = -2a
-1a(1 + -2a + 1a2) = 0
(1 * -1a + -2a * -1a + 1a2 * -1a) = 0
(-1a + 2a2 + -1a3) = 0

Solving
-1a + 2a2 + -1a3 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), 'a'.
a(-1 + 2a + -1a2) = 0

Factor a trinomial.
a((-1 + a)(1 + -1a)) = 0

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

Simplifying
a = 0

Solving
a = 0

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

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

Simplifying
-1 + a = 0

Solving
-1 + a = 0

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

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

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

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

Simplifying
a = 1
Subproblem 3
Set the factor '(1 + -1a)' equal to zero and attempt to solve:

Simplifying
1 + -1a = 0

Solving
1 + -1a = 0

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

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

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

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

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

Simplifying
a = 1
Solution
a = {0, 1, 1}