k(k+2)=5k

Solution for k(k+2)=5k equation:

Simplifying
k(k + 2) = 5k

Reorder the terms:
k(2 + k) = 5k
(2 * k + k * k) = 5k
(2k + k2) = 5k

Solving
2k + k2 = 5k

Solving for variable 'k'.

Reorder the terms:
2k + -5k + k2 = 5k + -5k

Combine like terms: 2k + -5k = -3k
-3k + k2 = 5k + -5k

Combine like terms: 5k + -5k = 0
-3k + k2 = 0

Factor out the Greatest Common Factor (GCF), 'k'.
k(-3 + 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 '(-3 + k)' equal to zero and attempt to solve:

Simplifying
-3 + k = 0

Solving
-3 + k = 0

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

Add '3' to each side of the equation.
-3 + 3 + k = 0 + 3

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

Combine like terms: 0 + 3 = 3
k = 3

Simplifying
k = 3
Solution
k = {0, 3}