X[n]=2u[-n]

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Solution for X[n]=2u[-n] equation: 


Simplifying
X[n] = 2u[-1n]

Multiply X * n
nX = 2u[-1n]

Remove brackets around [-1n]
nX = 2u * -1n

Reorder the terms for easier multiplication:
nX = 2 * -1u * n

Multiply 2 * -1
nX = -2u * n

Multiply u * n
nX = -2nu

Solving
nX = -2nu

Solving for variable 'n'.

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

Add '2nu' to each side of the equation.
nX + 2nu = -2nu + 2nu

Combine like terms: -2nu + 2nu = 0
nX + 2nu = 0

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


Subproblem 1
Set the factor 'n' equal to zero and attempt to solve:

Simplifying
n = 0

Solving
n = 0

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

Simplifying
n = 0

Subproblem 2
Set the factor '(X + 2u)' equal to zero and attempt to solve:

Simplifying
X + 2u = 0

Solving
X + 2u = 0

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

Add '-1X' to each side of the equation.
X + -1X + 2u = 0 + -1X

Combine like terms: X + -1X = 0
0 + 2u = 0 + -1X
2u = 0 + -1X
Remove the zero:
2u = -1X

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

Combine like terms: 2u + -2u = 0
0 = -1X + -2u

Simplifying
0 = -1X + -2u

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
n = {0}

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