3w(2-4w)=

Solution for 3w(2-4w)= equation:

Simplifying
3w(2 + -4w) = 0
(2 * 3w + -4w * 3w) = 0
(6w + -12w2) = 0

Solving
6w + -12w2 = 0

Solving for variable 'w'.

Factor out the Greatest Common Factor (GCF), '6w'.
6w(1 + -2w) = 0

Ignore the factor 6.
Subproblem 1
Set the factor 'w' equal to zero and attempt to solve:

Simplifying
w = 0

Solving
w = 0

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

Simplifying
w = 0
Subproblem 2
Set the factor '(1 + -2w)' equal to zero and attempt to solve:

Simplifying
1 + -2w = 0

Solving
1 + -2w = 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 + -2w = 0 + -1

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

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

Divide each side by '-2'.
w = 0.5

Simplifying
w = 0.5
Solution
w = {0, 0.5}