3rs-8r+s-8rs+14r-s=

Solution for 3rs-8r+s-8rs+14r-s= equation:

Simplifying
3rs + -8r + s + -8rs + 14r + -1s = 0

Reorder the terms:
-8r + 14r + 3rs + -8rs + s + -1s = 0

Combine like terms: -8r + 14r = 6r
6r + 3rs + -8rs + s + -1s = 0

Combine like terms: 3rs + -8rs = -5rs
6r + -5rs + s + -1s = 0

Combine like terms: s + -1s = 0
6r + -5rs + 0 = 0
6r + -5rs = 0

Solving
6r + -5rs = 0

Solving for variable 'r'.

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

Factor out the Greatest Common Factor (GCF), 'r'.
r(6 + -5s) = 0

Subproblem 1
Set the factor 'r' equal to zero and attempt to solve:

Simplifying
r = 0

Solving
r = 0

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

Simplifying
r = 0
Subproblem 2
Set the factor '(6 + -5s)' equal to zero and attempt to solve:

Simplifying
6 + -5s = 0

Solving
6 + -5s = 0

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

Add '-6' to each side of the equation.
6 + -6 + -5s = 0 + -6

Combine like terms: 6 + -6 = 0
0 + -5s = 0 + -6
-5s = 0 + -6

Combine like terms: 0 + -6 = -6
-5s = -6

Add '5s' to each side of the equation.
-5s + 5s = -6 + 5s

Combine like terms: -5s + 5s = 0
0 = -6 + 5s

Simplifying
0 = -6 + 5s

The solution to this equation could not be determined.

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