2rs-8r+3s-5rs+9r-3s=

Solution for 2rs-8r+3s-5rs+9r-3s= equation:

Simplifying
2rs + -8r + 3s + -5rs + 9r + -3s = 0

Reorder the terms:
-8r + 9r + 2rs + -5rs + 3s + -3s = 0

Combine like terms: -8r + 9r = 1r
1r + 2rs + -5rs + 3s + -3s = 0

Combine like terms: 2rs + -5rs = -3rs
1r + -3rs + 3s + -3s = 0

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

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

Simplifying
1 + -3s = 0

Solving
1 + -3s = 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 + -3s = 0 + -1

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

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

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

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

Simplifying
0 = -1 + 3s

The solution to this equation could not be determined.

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