s=ns(R+r)

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Solution for s=ns(R+r) equation: 


Simplifying
s = ns(R + r)
s = (R * ns + r * ns)

Reorder the terms:
s = (nrs + nsR)
s = (nrs + nsR)

Solving
s = nrs + nsR

Solving for variable 's'.

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

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

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

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

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

Factor out the Greatest Common Factor (GCF), 's'.
s(-1nr + -1nR + 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 '(-1nr + -1nR + 1)' equal to zero and attempt to solve:

Simplifying
-1nr + -1nR + 1 = 0

Reorder the terms:
1 + -1nR + -1nr = 0

Solving
1 + -1nR + -1nr = 0

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

Add '-1' to each side of the equation.
1 + -1nR + -1 + -1nr = 0 + -1

Reorder the terms:
1 + -1 + -1nR + -1nr = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -1nR + -1nr = 0 + -1
-1nR + -1nr = 0 + -1

Combine like terms: 0 + -1 = -1
-1nR + -1nr = -1

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

Combine like terms: -1nR + nR = 0
0 + -1nr = -1 + nR
-1nr = -1 + nR

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

Combine like terms: -1nr + nr = 0
0 = -1 + nR + nr

Simplifying
0 = -1 + nR + nr

The solution to this equation could not be determined.

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

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