15k=(9-k)k

Solution for 15k=(9-k)k equation:

Simplifying
15k = (9 + -1k) * k

Reorder the terms for easier multiplication:
15k = k(9 + -1k)
15k = (9 * k + -1k * k)
15k = (9k + -1k2)

Solving
15k = 9k + -1k2

Solving for variable 'k'.

Combine like terms: 15k + -9k = 6k
6k + k2 = 9k + -1k2 + -9k + k2

Reorder the terms:
6k + k2 = 9k + -9k + -1k2 + k2

Combine like terms: 9k + -9k = 0
6k + k2 = 0 + -1k2 + k2
6k + k2 = -1k2 + k2

Combine like terms: -1k2 + k2 = 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}