w^2=4w

Solution for w^2=4w equation:

Simplifying
w2 = 4w

Solving
w2 = 4w

Solving for variable 'w'.

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

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

Factor out the Greatest Common Factor (GCF), 'w'.
w(-4 + w) = 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 '(-4 + w)' equal to zero and attempt to solve:

Simplifying
-4 + w = 0

Solving
-4 + w = 0

Move all terms containing w to the left, all other terms to the right.

Add '4' to each side of the equation.
-4 + 4 + w = 0 + 4

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

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

Simplifying
w = 4
Solution
w = {0, 4}