3rs-5r+s-4rs+8r-s=

Solution for 3rs-5r+s-4rs+8r-s= equation:

Simplifying
3rs + -5r + s + -4rs + 8r + -1s = 0

Reorder the terms:
-5r + 8r + 3rs + -4rs + s + -1s = 0

Combine like terms: -5r + 8r = 3r
3r + 3rs + -4rs + s + -1s = 0

Combine like terms: 3rs + -4rs = -1rs
3r + -1rs + s + -1s = 0

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

Solving
3r + -1rs = 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(3 + -1s) = 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 '(3 + -1s)' equal to zero and attempt to solve:

Simplifying
3 + -1s = 0

Solving
3 + -1s = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1s = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1s = 0 + -3
-1s = 0 + -3

Combine like terms: 0 + -3 = -3
-1s = -3

Add 's' to each side of the equation.
-1s + s = -3 + s

Combine like terms: -1s + s = 0
0 = -3 + s

Simplifying
0 = -3 + s

The solution to this equation could not be determined.

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