14w^2=2w

Solution for 14w^2=2w equation:

Simplifying
14w2 = 2w

Solving
14w2 = 2w

Solving for variable 'w'.

Reorder the terms:
-2w + 14w2 = 2w + -2w

Combine like terms: 2w + -2w = 0
-2w + 14w2 = 0

Factor out the Greatest Common Factor (GCF), '2w'.
2w(-1 + 7w) = 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 + 7w)' equal to zero and attempt to solve:

Simplifying
-1 + 7w = 0

Solving
-1 + 7w = 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 + 7w = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 7w = 0 + 1
7w = 0 + 1

Combine like terms: 0 + 1 = 1
7w = 1

Divide each side by '7'.
w = 0.1428571429

Simplifying
w = 0.1428571429
Solution
w = {0, 0.1428571429}