y[n]=n^2x[n]

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Solution for y[n]=n^2x[n] equation: 


Simplifying
y[n] = n2x[n]

Multiply y * n
ny = n2x[n]

Multiply n2x * n
ny = n3x

Solving
ny = n3x

Solving for variable 'n'.

Combine like terms: n3x + -1n3x = 0
ny + -1n3x = 0

Factor out the Greatest Common Factor (GCF), 'n'.
n(y + -1n2x) = 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 '(y + -1n2x)' equal to zero and attempt to solve:

Simplifying
y + -1n2x = 0

Reorder the terms:
-1n2x + y = 0

Solving
-1n2x + y = 0

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

Add '-1y' to each side of the equation.
-1n2x + y + -1y = 0 + -1y

Combine like terms: y + -1y = 0
-1n2x + 0 = 0 + -1y
-1n2x = 0 + -1y
Remove the zero:
-1n2x = -1y

Divide each side by '-1x'.
n2 = x-1y

Simplifying
n2 = x-1y

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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