14w^2-7w=0

Solution for 14w^2-7w=0 equation:

Simplifying
14w2 + -7w = 0

Reorder the terms:
-7w + 14w2 = 0

Solving
-7w + 14w2 = 0

Solving for variable 'w'.

Factor out the Greatest Common Factor (GCF), '7w'.
7w(-1 + 2w) = 0

Ignore the factor 7.
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}