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Simplifying S2 = 56S + -1S3 Solving S2 = 56S + -1S3 Solving for variable 'S'. Reorder the terms: -56S + S2 + S3 = 56S + -1S3 + -56S + S3 Reorder the terms: -56S + S2 + S3 = 56S + -56S + -1S3 + S3 Combine like terms: 56S + -56S = 0 -56S + S2 + S3 = 0 + -1S3 + S3 -56S + S2 + S3 = -1S3 + S3 Combine like terms: -1S3 + S3 = 0 -56S + S2 + S3 = 0 Factor out the Greatest Common Factor (GCF), 'S'. S(-56 + S + S2) = 0 Factor a trinomial. S((-8 + -1S)(7 + -1S)) = 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 '(-8 + -1S)' equal to zero and attempt to solve: Simplifying -8 + -1S = 0 Solving -8 + -1S = 0 Move all terms containing S to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -1S = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -1S = 0 + 8 -1S = 0 + 8 Combine like terms: 0 + 8 = 8 -1S = 8 Divide each side by '-1'. S = -8 Simplifying S = -8Subproblem 3
Set the factor '(7 + -1S)' equal to zero and attempt to solve: Simplifying 7 + -1S = 0 Solving 7 + -1S = 0 Move all terms containing S to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + -1S = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1S = 0 + -7 -1S = 0 + -7 Combine like terms: 0 + -7 = -7 -1S = -7 Divide each side by '-1'. S = 7 Simplifying S = 7Solution
S = {0, -8, 7}
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