k^2-3k=3k

Solution for k^2-3k=3k equation:

Simplifying
k2 + -3k = 3k

Reorder the terms:
-3k + k2 = 3k

Solving
-3k + k2 = 3k

Solving for variable 'k'.

Reorder the terms:
-3k + -3k + k2 = 3k + -3k

Combine like terms: -3k + -3k = -6k
-6k + k2 = 3k + -3k

Combine like terms: 3k + -3k = 0
-6k + k2 = 0

Factor out the Greatest Common Factor (GCF), 'k'.
k(-6 + 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 '(-6 + k)' equal to zero and attempt to solve:

Simplifying
-6 + k = 0

Solving
-6 + k = 0

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

Add '6' to each side of the equation.
-6 + 6 + k = 0 + 6

Combine like terms: -6 + 6 = 0
0 + k = 0 + 6
k = 0 + 6

Combine like terms: 0 + 6 = 6
k = 6

Simplifying
k = 6
Solution
k = {0, 6}