S=L(8+RS)forS

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Solution for S=L(8+RS)forS equation: 


Simplifying
S = L(8 + RS) * forS

Reorder the terms for easier multiplication:
S = L * forS(8 + RS)

Multiply L * forS
S = forLS(8 + RS)
S = (8 * forLS + RS * forLS)

Reorder the terms:
S = (forLRS2 + 8forLS)
S = (forLRS2 + 8forLS)

Solving
S = forLRS2 + 8forLS

Solving for variable 'S'.

Reorder the terms:
S + -1forLRS2 + -8forLS = forLRS2 + -1forLRS2 + 8forLS + -8forLS

Combine like terms: forLRS2 + -1forLRS2 = 0
S + -1forLRS2 + -8forLS = 0 + 8forLS + -8forLS
S + -1forLRS2 + -8forLS = 8forLS + -8forLS

Combine like terms: 8forLS + -8forLS = 0
S + -1forLRS2 + -8forLS = 0

Factor out the Greatest Common Factor (GCF), 'S'.
S(1 + -1forLRS + -8forL) = 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 '(1 + -1forLRS + -8forL)' equal to zero and attempt to solve:

Simplifying
1 + -1forLRS + -8forL = 0

Reorder the terms:
1 + -8forL + -1forLRS = 0

Solving
1 + -8forL + -1forLRS = 0

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

Add '-1' to each side of the equation.
1 + -8forL + -1 + -1forLRS = 0 + -1

Reorder the terms:
1 + -1 + -8forL + -1forLRS = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -8forL + -1forLRS = 0 + -1
-8forL + -1forLRS = 0 + -1

Combine like terms: 0 + -1 = -1
-8forL + -1forLRS = -1

Add '8forL' to each side of the equation.
-8forL + 8forL + -1forLRS = -1 + 8forL

Combine like terms: -8forL + 8forL = 0
0 + -1forLRS = -1 + 8forL
-1forLRS = -1 + 8forL

Divide each side by '-1forLR'.
S = f-1o-1r-1L-1R-1 + -8R-1

Simplifying
S = f-1o-1r-1L-1R-1 + -8R-1

Reorder the terms:
S = -8R-1 + f-1o-1r-1L-1R-1
Solution
S = {0, -8R-1 + f-1o-1r-1L-1R-1}

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