3rs-9r+s-7rs+11r-s=

Solution for 3rs-9r+s-7rs+11r-s= equation:

Simplifying
3rs + -9r + s + -7rs + 11r + -1s = 0

Reorder the terms:
-9r + 11r + 3rs + -7rs + s + -1s = 0

Combine like terms: -9r + 11r = 2r
2r + 3rs + -7rs + s + -1s = 0

Combine like terms: 3rs + -7rs = -4rs
2r + -4rs + s + -1s = 0

Combine like terms: s + -1s = 0
2r + -4rs + 0 = 0
2r + -4rs = 0

Solving
2r + -4rs = 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), '2r'.
2r(1 + -2s) = 0

Ignore the factor 2.
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 '(1 + -2s)' equal to zero and attempt to solve:

Simplifying
1 + -2s = 0

Solving
1 + -2s = 0

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

Add '-1' to each side of the equation.
1 + -1 + -2s = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -2s = 0 + -1
-2s = 0 + -1

Combine like terms: 0 + -1 = -1
-2s = -1

Add '2s' to each side of the equation.
-2s + 2s = -1 + 2s

Combine like terms: -2s + 2s = 0
0 = -1 + 2s

Simplifying
0 = -1 + 2s

The solution to this equation could not be determined.

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