(w-2)(4w-4)=

Solution for (w-2)(4w-4)= equation:

Simplifying
(w + -2)(4w + -4) = 0

Reorder the terms:
(-2 + w)(4w + -4) = 0

Reorder the terms:
(-2 + w)(-4 + 4w) = 0

Multiply (-2 + w) * (-4 + 4w)
(-2(-4 + 4w) + w(-4 + 4w)) = 0
((-4 * -2 + 4w * -2) + w(-4 + 4w)) = 0
((8 + -8w) + w(-4 + 4w)) = 0
(8 + -8w + (-4 * w + 4w * w)) = 0
(8 + -8w + (-4w + 4w2)) = 0

Combine like terms: -8w + -4w = -12w
(8 + -12w + 4w2) = 0

Solving
8 + -12w + 4w2 = 0

Solving for variable 'w'.

Factor out the Greatest Common Factor (GCF), '4'.
4(2 + -3w + w2) = 0

Factor a trinomial.
4((1 + -1w)(2 + -1w)) = 0

Ignore the factor 4.
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 '(2 + -1w)' equal to zero and attempt to solve:

Simplifying
2 + -1w = 0

Solving
2 + -1w = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1w = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1w = 0 + -2
-1w = 0 + -2

Combine like terms: 0 + -2 = -2
-1w = -2

Divide each side by '-1'.
w = 2

Simplifying
w = 2
Solution
w = {1, 2}