(1-q)(1-q)=0

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

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

Multiply (1 + -1q) * (1 + -1q)
(1(1 + -1q) + -1q * (1 + -1q)) = 0
((1 * 1 + -1q * 1) + -1q * (1 + -1q)) = 0
((1 + -1q) + -1q * (1 + -1q)) = 0
(1 + -1q + (1 * -1q + -1q * -1q)) = 0
(1 + -1q + (-1q + 1q2)) = 0

Combine like terms: -1q + -1q = -2q
(1 + -2q + 1q2) = 0

Solving
1 + -2q + 1q2 = 0

Solving for variable 'q'.

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

Subproblem 1
Set the factor '(1 + -1q)' equal to zero and attempt to solve:

Simplifying
1 + -1q = 0

Solving
1 + -1q = 0

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

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

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

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

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

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

Simplifying
1 + -1q = 0

Solving
1 + -1q = 0

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

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

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

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

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

Simplifying
q = 1
Solution
q = {1, 1}