S=2SQ+2SR

Solution for S=2SQ+2SR equation:

Simplifying
S = 2SQ + 2SR

Solving
S = 2QS + 2RS

Solving for variable 'S'.

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

Add '-2QS' to each side of the equation.
-2QS + S = 2QS + -2QS + 2RS

Combine like terms: 2QS + -2QS = 0
-2QS + S = 0 + 2RS
-2QS + S = 2RS

Add '-2RS' to each side of the equation.
-2QS + -2RS + S = 2RS + -2RS

Combine like terms: 2RS + -2RS = 0
-2QS + -2RS + S = 0

Factor out the Greatest Common Factor (GCF), 'S'.
S(-2Q + -2R + 1) = 0

Subproblem 1
Set the factor 'S' equal to zero and attempt to solve:

Simplifying
S = 0

Solving
S = 0

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

Simplifying
S = 0
Subproblem 2
Set the factor '(-2Q + -2R + 1)' equal to zero and attempt to solve:

Simplifying
-2Q + -2R + 1 = 0

Reorder the terms:
1 + -2Q + -2R = 0

Solving
1 + -2Q + -2R = 0

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

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

Reorder the terms:
1 + -1 + -2Q + -2R = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -2Q + -2R = 0 + -1
-2Q + -2R = 0 + -1

Combine like terms: 0 + -1 = -1
-2Q + -2R = -1

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

Combine like terms: -2Q + 2Q = 0
0 + -2R = -1 + 2Q
-2R = -1 + 2Q

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

Combine like terms: -2R + 2R = 0
0 = -1 + 2Q + 2R

Simplifying
0 = -1 + 2Q + 2R

The solution to this equation could not be determined.

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