tn=2n^2

Solution for tn=2n^2 equation:

Simplifying
tn = 2n2

Solving
nt = 2n2

Solving for variable 'n'.

Combine like terms: 2n2 + -2n2 = 0
nt + -2n2 = 0

Factor out the Greatest Common Factor (GCF), 'n'.
n(t + -2n) = 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 '(t + -2n)' equal to zero and attempt to solve:

Simplifying
t + -2n = 0

Reorder the terms:
-2n + t = 0

Solving
-2n + t = 0

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

Add '-1t' to each side of the equation.
-2n + t + -1t = 0 + -1t

Combine like terms: t + -1t = 0
-2n + 0 = 0 + -1t
-2n = 0 + -1t
Remove the zero:
-2n = -1t

Divide each side by '-2'.
n = 0.5t

Simplifying
n = 0.5t
Solution
n = {0, 0.5t}