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Simplifying S(x) = x + 0.6x Multiply S * x xS = x + 0.6x Combine like terms: x + 0.6x = 1.6x xS = 1.6x Solving xS = 1.6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.6x' to each side of the equation. -1.6x + xS = 1.6x + -1.6x Combine like terms: 1.6x + -1.6x = 0.0 -1.6x + xS = 0.0 Factor out the Greatest Common Factor (GCF), 'x'. x(-1.6 + S) = 0.0Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0Subproblem 2
Set the factor '(-1.6 + S)' equal to zero and attempt to solve: Simplifying -1.6 + S = 0 Solving -1.6 + S = 0 Move all terms containing x to the left, all other terms to the right. Add '1.6' to each side of the equation. -1.6 + 1.6 + S = 0 + 1.6 Combine like terms: -1.6 + 1.6 = 0.0 0.0 + S = 0 + 1.6 S = 0 + 1.6 Combine like terms: 0 + 1.6 = 1.6 S = 1.6 Add '-1S' to each side of the equation. S + -1S = 1.6 + -1S Combine like terms: S + -1S = 0 0 = 1.6 + -1S Simplifying 0 = 1.6 + -1S The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
x = {0}
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