15k=(9-a)k

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

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

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

Reorder the terms:
15k = (-1ak + 9k)
15k = (-1ak + 9k)

Solving
15k = -1ak + 9k

Solving for variable 'k'.

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

Add 'ak' to each side of the equation.
ak + 15k = -1ak + ak + 9k

Combine like terms: -1ak + ak = 0
ak + 15k = 0 + 9k
ak + 15k = 9k

Add '-9k' to each side of the equation.
ak + 15k + -9k = 9k + -9k

Combine like terms: 15k + -9k = 6k
ak + 6k = 9k + -9k

Combine like terms: 9k + -9k = 0
ak + 6k = 0

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

Simplifying
a + 6 = 0

Reorder the terms:
6 + a = 0

Solving
6 + a = 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 + a = 0 + -6

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

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

Add '-1a' to each side of the equation.
a + -1a = -6 + -1a

Combine like terms: a + -1a = 0
0 = -6 + -1a

Simplifying
0 = -6 + -1a

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
k = {0}