k^2=10k

Solution for k^2=10k equation:

Simplifying
k2 = 10k

Solving
k2 = 10k

Solving for variable 'k'.

Reorder the terms:
-10k + k2 = 10k + -10k

Combine like terms: 10k + -10k = 0
-10k + k2 = 0

Factor out the Greatest Common Factor (GCF), 'k'.
k(-10 + k) = 0

Subproblem 1
Set the factor 'k' equal to zero and attempt to solve:

Simplifying
k = 0

Solving
k = 0

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

Simplifying
k = 0
Subproblem 2
Set the factor '(-10 + k)' equal to zero and attempt to solve:

Simplifying
-10 + k = 0

Solving
-10 + k = 0

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

Add '10' to each side of the equation.
-10 + 10 + k = 0 + 10

Combine like terms: -10 + 10 = 0
0 + k = 0 + 10
k = 0 + 10

Combine like terms: 0 + 10 = 10
k = 10

Simplifying
k = 10
Solution
k = {0, 10}