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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) = 0Subproblem 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 = 0Subproblem 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-1Solution
S = {0, -8R-1 + f-1o-1r-1L-1R-1}
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