X(n+2)=AXn

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Solution for X(n+2)=AXn equation: 


Simplifying
X(n + 2) = AXn

Reorder the terms:
X(2 + n) = AXn
(2 * X + n * X) = AXn
(2X + nX) = AXn

Solving
2X + nX = nAX

Solving for variable 'X'.

Move all terms containing X to the left, all other terms to the right.

Add '-1nAX' to each side of the equation.
2X + -1nAX + nX = nAX + -1nAX

Combine like terms: nAX + -1nAX = 0
2X + -1nAX + nX = 0

Factor out the Greatest Common Factor (GCF), 'X'.
X(2 + -1nA + n) = 0


Subproblem 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 = 0

Subproblem 2
Set the factor '(2 + -1nA + n)' equal to zero and attempt to solve:

Simplifying
2 + -1nA + n = 0

Reorder the terms:
2 + n + -1nA = 0

Solving
2 + n + -1nA = 0

Move all terms containing X to the left, all other terms to the right.

Add '-2' to each side of the equation.
2 + n + -2 + -1nA = 0 + -2

Reorder the terms:
2 + -2 + n + -1nA = 0 + -2

Combine like terms: 2 + -2 = 0
0 + n + -1nA = 0 + -2
n + -1nA = 0 + -2

Combine like terms: 0 + -2 = -2
n + -1nA = -2

Add '-1n' to each side of the equation.
n + -1n + -1nA = -2 + -1n

Combine like terms: n + -1n = 0
0 + -1nA = -2 + -1n
-1nA = -2 + -1n

Add 'nA' to each side of the equation.
-1nA + nA = -2 + -1n + nA

Combine like terms: -1nA + nA = 0
0 = -2 + -1n + nA

Simplifying
0 = -2 + -1n + nA

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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