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Simplifying f(0) = 2xf(n + -1) Reorder the terms for easier multiplication: 0f = 2xf(n + -1) Anything times zero is zero. 0f = 2xf(n + -1) Reorder the terms: 0 = 2fx(-1 + n) 0 = (-1 * 2fx + n * 2fx) Reorder the terms: 0 = (2fnx + -2fx) 0 = (2fnx + -2fx) Solving 0 = 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. 0 + -2fnx = 2fnx + -2fnx + -2fx Remove the zero: -2fnx = 2fnx + -2fnx + -2fx Combine like terms: 2fnx + -2fnx = 0 -2fnx = 0 + -2fx -2fnx = -2fx Add '2fx' to each side of the equation. -2fnx + 2fx = -2fx + 2fx Combine like terms: -2fx + 2fx = 0 -2fnx + 2fx = 0 Factor out the Greatest Common Factor (GCF), '2fx'. 2fx(-1n + 1) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'fx' equal to zero and attempt to solve: Simplifying fx = 0 Solving fx = 0 Move all terms containing f to the left, all other terms to the right. Simplifying fx = 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 '(-1n + 1)' equal to zero and attempt to solve: Simplifying -1n + 1 = 0 Reorder the terms: 1 + -1n = 0 Solving 1 + -1n = 0 Move all terms containing f to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1n = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1n = 0 + -1 -1n = 0 + -1 Combine like terms: 0 + -1 = -1 -1n = -1 Add 'n' to each side of the equation. -1n + n = -1 + n Combine like terms: -1n + n = 0 0 = -1 + n Simplifying 0 = -1 + n 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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