(w-1)(w-1)=0

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

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

Reorder the terms:
(-1 + w)(w + -1) = 0

Reorder the terms:
(-1 + w)(-1 + w) = 0

Multiply (-1 + w) * (-1 + w)
(-1(-1 + w) + w(-1 + w)) = 0
((-1 * -1 + w * -1) + w(-1 + w)) = 0
((1 + -1w) + w(-1 + w)) = 0
(1 + -1w + (-1 * w + w * w)) = 0
(1 + -1w + (-1w + w2)) = 0

Combine like terms: -1w + -1w = -2w
(1 + -2w + w2) = 0

Solving
1 + -2w + w2 = 0

Solving for variable 'w'.

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

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

Simplifying
1 + -1w = 0

Solving
1 + -1w = 0

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

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

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

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

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

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

Simplifying
1 + -1w = 0

Solving
1 + -1w = 0

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

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

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

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

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

Simplifying
w = 1
Solution
w = {1, 1}