5w^2=5w

Solution for 5w^2=5w equation:

Simplifying
5w2 = 5w

Solving
5w2 = 5w

Solving for variable 'w'.

Reorder the terms:
-5w + 5w2 = 5w + -5w

Combine like terms: 5w + -5w = 0
-5w + 5w2 = 0

Factor out the Greatest Common Factor (GCF), '5w'.
5w(-1 + w) = 0

Ignore the factor 5.
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}