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Simplifying S7 = S5 Solving S7 = S5 Solving for variable 'S'. Reorder the terms: -1S5 + S7 = S5 + -1S5 Combine like terms: S5 + -1S5 = 0 -1S5 + S7 = 0 Factor out the Greatest Common Factor (GCF), 'S5'. S5(-1 + S2) = 0 Factor a difference between two squares. S5((1 + S)(-1 + S)) = 0Subproblem 1
Set the factor 'S5' equal to zero and attempt to solve: Simplifying S5 = 0 Solving S5 = 0 Move all terms containing S to the left, all other terms to the right. Simplifying S5 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(1 + S)' equal to zero and attempt to solve: Simplifying 1 + S = 0 Solving 1 + S = 0 Move all terms containing S to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + S = 0 + -1 Combine like terms: 1 + -1 = 0 0 + S = 0 + -1 S = 0 + -1 Combine like terms: 0 + -1 = -1 S = -1 Simplifying S = -1Subproblem 3
Set the factor '(-1 + S)' equal to zero and attempt to solve: Simplifying -1 + S = 0 Solving -1 + S = 0 Move all terms containing S to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + S = 0 + 1 Combine like terms: -1 + 1 = 0 0 + S = 0 + 1 S = 0 + 1 Combine like terms: 0 + 1 = 1 S = 1 Simplifying S = 1Solution
S = {-1, 1}
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