2w(6w-1)=

Solution for 2w(6w-1)= equation:

Simplifying
2w(6w + -1) = 0

Reorder the terms:
2w(-1 + 6w) = 0
(-1 * 2w + 6w * 2w) = 0
(-2w + 12w2) = 0

Solving
-2w + 12w2 = 0

Solving for variable 'w'.

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

Ignore the factor 2.
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 + 6w)' equal to zero and attempt to solve:

Simplifying
-1 + 6w = 0

Solving
-1 + 6w = 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 + 6w = 0 + 1

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

Combine like terms: 0 + 1 = 1
6w = 1

Divide each side by '6'.
w = 0.1666666667

Simplifying
w = 0.1666666667
Solution
w = {0, 0.1666666667}