4w^2=4w

Solution for 4w^2=4w equation:

Simplifying
4w2 = 4w

Solving
4w2 = 4w

Solving for variable 'w'.

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

Combine like terms: 4w + -4w = 0
-4w + 4w2 = 0

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

Ignore the factor 4.
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 + w)' equal to zero and attempt to solve:

Simplifying
-1 + w = 0

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

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

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

Simplifying
w = 1
Solution
w = {0, 1}