f(0)=2xf(n-1)

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Solution for f(0)=2xf(n-1) equation:


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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