(2w-6)(3w-6)=

Solution for (2w-6)(3w-6)= equation:

Simplifying
(2w + -6)(3w + -6) = 0

Reorder the terms:
(-6 + 2w)(3w + -6) = 0

Reorder the terms:
(-6 + 2w)(-6 + 3w) = 0

Multiply (-6 + 2w) * (-6 + 3w)
(-6(-6 + 3w) + 2w * (-6 + 3w)) = 0
((-6 * -6 + 3w * -6) + 2w * (-6 + 3w)) = 0
((36 + -18w) + 2w * (-6 + 3w)) = 0
(36 + -18w + (-6 * 2w + 3w * 2w)) = 0
(36 + -18w + (-12w + 6w2)) = 0

Combine like terms: -18w + -12w = -30w
(36 + -30w + 6w2) = 0

Solving
36 + -30w + 6w2 = 0

Solving for variable 'w'.

Factor out the Greatest Common Factor (GCF), '6'.
6(6 + -5w + w2) = 0

Factor a trinomial.
6((2 + -1w)(3 + -1w)) = 0

Ignore the factor 6.
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 '(3 + -1w)' equal to zero and attempt to solve:

Simplifying
3 + -1w = 0

Solving
3 + -1w = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1w = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1w = 0 + -3
-1w = 0 + -3

Combine like terms: 0 + -3 = -3
-1w = -3

Divide each side by '-1'.
w = 3

Simplifying
w = 3
Solution
w = {2, 3}