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