3ks-9kt+18ku=

Solution for 3ks-9kt+18ku= equation:

Simplifying
3ks + -9kt + 18ku = 0

Solving
3ks + -9kt + 18ku = 0

Solving for variable 'k'.

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

Factor out the Greatest Common Factor (GCF), '3k'.
3k(s + -3t + 6u) = 0

Ignore the factor 3.
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 '(s + -3t + 6u)' equal to zero and attempt to solve:

Simplifying
s + -3t + 6u = 0

Solving
s + -3t + 6u = 0

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

Add '-1s' to each side of the equation.
s + -3t + -1s + 6u = 0 + -1s

Reorder the terms:
s + -1s + -3t + 6u = 0 + -1s

Combine like terms: s + -1s = 0
0 + -3t + 6u = 0 + -1s
-3t + 6u = 0 + -1s
Remove the zero:
-3t + 6u = -1s

Add '3t' to each side of the equation.
-3t + 3t + 6u = -1s + 3t

Combine like terms: -3t + 3t = 0
0 + 6u = -1s + 3t
6u = -1s + 3t

Add '-6u' to each side of the equation.
6u + -6u = -1s + 3t + -6u

Combine like terms: 6u + -6u = 0
0 = -1s + 3t + -6u

Simplifying
0 = -1s + 3t + -6u

The solution to this equation could not be determined.

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