r(2s+2)=

Solution for r(2s+2)= equation:

Simplifying
r(2s + 2) = 0

Reorder the terms:
r(2 + 2s) = 0
(2 * r + 2s * r) = 0
(2r + 2rs) = 0

Solving
2r + 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), '2r'.
2r(1 + s) = 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 + s)' equal to zero and attempt to solve:

Simplifying
1 + s = 0

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

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

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

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

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

Simplifying
0 = -1 + -1s

The solution to this equation could not be determined.

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