4w^2-w=0

Solution for 4w^2-w=0 equation:

Simplifying
4w2 + -1w = 0

Reorder the terms:
-1w + 4w2 = 0

Solving
-1w + 4w2 = 0

Solving for variable 'w'.

Factor out the Greatest Common Factor (GCF), 'w'.
w(-1 + 4w) = 0

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 + 4w)' equal to zero and attempt to solve:

Simplifying
-1 + 4w = 0

Solving
-1 + 4w = 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 + 4w = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 4w = 0 + 1
4w = 0 + 1

Combine like terms: 0 + 1 = 1
4w = 1

Divide each side by '4'.
w = 0.25

Simplifying
w = 0.25
Solution
w = {0, 0.25}