n^3t^2=nt^4

Solution for n^3t^2=nt^4 equation:

Simplifying
n3t2 = nt4

Solving
n3t2 = nt4

Solving for variable 'n'.

Reorder the terms:
-1nt4 + n3t2 = nt4 + -1nt4

Combine like terms: nt4 + -1nt4 = 0
-1nt4 + n3t2 = 0

Factor out the Greatest Common Factor (GCF), 'nt2'.
nt2(-1t2 + n2) = 0

Factor a difference between two squares.
nt2((t + n)(-1t + n)) = 0

Subproblem 1
Set the factor 'nt2' equal to zero and attempt to solve:

Simplifying
nt2 = 0

Solving
nt2 = 0

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

Simplifying
nt2 = 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 '(t + n)' equal to zero and attempt to solve:

Simplifying
t + n = 0

Reorder the terms:
n + t = 0

Solving
n + t = 0

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

Add '-1t' to each side of the equation.
n + t + -1t = 0 + -1t

Combine like terms: t + -1t = 0
n + 0 = 0 + -1t
n = 0 + -1t
Remove the zero:
n = -1t

Simplifying
n = -1t
Subproblem 3
Set the factor '(-1t + n)' equal to zero and attempt to solve:

Simplifying
-1t + n = 0

Reorder the terms:
n + -1t = 0

Solving
n + -1t = 0

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

Add 't' to each side of the equation.
n + -1t + t = 0 + t

Combine like terms: -1t + t = 0
n + 0 = 0 + t
n = 0 + t
Remove the zero:
n = t

Simplifying
n = t
Solution
n = {-1t, t}