w^2=13w

Solution for w^2=13w equation:

Simplifying
w2 = 13w

Solving
w2 = 13w

Solving for variable 'w'.

Reorder the terms:
-13w + w2 = 13w + -13w

Combine like terms: 13w + -13w = 0
-13w + w2 = 0

Factor out the Greatest Common Factor (GCF), 'w'.
w(-13 + 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 '(-13 + w)' equal to zero and attempt to solve:

Simplifying
-13 + w = 0

Solving
-13 + w = 0

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

Add '13' to each side of the equation.
-13 + 13 + w = 0 + 13

Combine like terms: -13 + 13 = 0
0 + w = 0 + 13
w = 0 + 13

Combine like terms: 0 + 13 = 13
w = 13

Simplifying
w = 13
Solution
w = {0, 13}