(W-6)(W-2)=0

Solution for (W-6)(W-2)=0 equation:

Simplifying
(W + -6)(W + -2) = 0

Reorder the terms:
(-6 + W)(W + -2) = 0

Reorder the terms:
(-6 + W)(-2 + W) = 0

Multiply (-6 + W) * (-2 + W)
(-6(-2 + W) + W(-2 + W)) = 0
((-2 * -6 + W * -6) + W(-2 + W)) = 0
((12 + -6W) + W(-2 + W)) = 0
(12 + -6W + (-2 * W + W * W)) = 0
(12 + -6W + (-2W + W2)) = 0

Combine like terms: -6W + -2W = -8W
(12 + -8W + W2) = 0

Solving
12 + -8W + W2 = 0

Solving for variable 'W'.

Factor a trinomial.
(2 + -1W)(6 + -1W) = 0

Subproblem 1
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
Subproblem 2
Set the factor '(6 + -1W)' equal to zero and attempt to solve:

Simplifying
6 + -1W = 0

Solving
6 + -1W = 0

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

Add '-6' to each side of the equation.
6 + -6 + -1W = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -1W = 0 + -6
-1W = 0 + -6

Combine like terms: 0 + -6 = -6
-1W = -6

Divide each side by '-1'.
W = 6

Simplifying
W = 6
Solution
W = {2, 6}