r+rs+rs=

Solution for r+rs+rs= equation:

Simplifying
r + rs + rs = 0

Combine like terms: rs + rs = 2rs
r + 2rs = 0

Solving
r + 2rs = 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 + 2s) = 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 + 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}