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Simplifying F(x) = 0.2x Multiply F * x xF = 0.2x Solving xF = 0.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.2x' to each side of the equation. -0.2x + xF = 0.2x + -0.2x Combine like terms: 0.2x + -0.2x = 0.0 -0.2x + xF = 0.0 Factor out the Greatest Common Factor (GCF), 'x'. x(-0.2 + F) = 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 '(-0.2 + F)' equal to zero and attempt to solve: Simplifying -0.2 + F = 0 Solving -0.2 + F = 0 Move all terms containing x to the left, all other terms to the right. Add '0.2' to each side of the equation. -0.2 + 0.2 + F = 0 + 0.2 Combine like terms: -0.2 + 0.2 = 0.0 0.0 + F = 0 + 0.2 F = 0 + 0.2 Combine like terms: 0 + 0.2 = 0.2 F = 0.2 Add '-1F' to each side of the equation. F + -1F = 0.2 + -1F Combine like terms: F + -1F = 0 0 = 0.2 + -1F Simplifying 0 = 0.2 + -1F 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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