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Simplifying f(f(f(x))) + -2f(f(x)) + 4f(x) + -8x = 0 Multiply f * x f(f(fx)) + -2f(f(x)) + 4f(x) + -8x = 0 Multiply f * fx f(f2x) + -2f(f(x)) + 4f(x) + -8x = 0 Multiply f * f2x f3x + -2f(f(x)) + 4f(x) + -8x = 0 Multiply f * x f3x + -2f(fx) + 4f(x) + -8x = 0 Multiply f * fx f3x + -2f2x + 4f(x) + -8x = 0 Multiply f * x f3x + -2f2x + 4fx + -8x = 0 Reorder the terms: 4fx + -2f2x + f3x + -8x = 0 Solving 4fx + -2f2x + f3x + -8x = 0 Solving for variable 'f'. Factor out the Greatest Common Factor (GCF), 'x'. x(4f + -2f2 + f3 + -8) = 0Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing f to the left, all other terms to the right. Add '-1x' to each side of the equation. x + -1x = 0 + -1x Remove the zero: 0 = -1x Simplifying 0 = -1x 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 '(4f + -2f2 + f3 + -8)' equal to zero and attempt to solve: Simplifying 4f + -2f2 + f3 + -8 = 0 Reorder the terms: -8 + 4f + -2f2 + f3 = 0 Solving -8 + 4f + -2f2 + f3 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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