S(r+r)=rt

Solution for S(r+r)=rt equation:

Simplifying
S(r + r) = rt

Combine like terms: r + r = 2r
S(2r) = rt

Remove parenthesis around (2r)
S * 2r = rt

Reorder the terms for easier multiplication:
2S * r = rt

Multiply S * r
2rS = rt

Solving
2rS = rt

Solving for variable 'r'.

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

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

Combine like terms: rt + -1rt = 0
2rS + -1rt = 0

Factor out the Greatest Common Factor (GCF), 'r'.
r(2S + -1t) = 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 '(2S + -1t)' equal to zero and attempt to solve:

Simplifying
2S + -1t = 0

Solving
2S + -1t = 0

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

Add '-2S' to each side of the equation.
2S + -2S + -1t = 0 + -2S

Combine like terms: 2S + -2S = 0
0 + -1t = 0 + -2S
-1t = 0 + -2S
Remove the zero:
-1t = -2S

Add 't' to each side of the equation.
-1t + t = -2S + t

Combine like terms: -1t + t = 0
0 = -2S + t

Simplifying
0 = -2S + t

The solution to this equation could not be determined.

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