t(n)=3n+t(0)

Solution for t(n)=3n+t(0) equation:

Simplifying
t(n) = 3n + t(0)

Multiply t * n
nt = 3n + t(0)

Reorder the terms for easier multiplication:
nt = 3n + 0t

Anything times zero is zero.
nt = 3n + 0t

Reorder the terms:
nt = 0 + 3n
Remove the zero:
nt = 3n

Solving
nt = 3n

Solving for variable 'n'.

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

Add '-3n' to each side of the equation.
-3n + nt = 3n + -3n

Combine like terms: 3n + -3n = 0
-3n + nt = 0

Factor out the Greatest Common Factor (GCF), 'n'.
n(-3 + t) = 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 '(-3 + t)' equal to zero and attempt to solve:

Simplifying
-3 + t = 0

Solving
-3 + t = 0

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

Add '3' to each side of the equation.
-3 + 3 + t = 0 + 3

Combine like terms: -3 + 3 = 0
0 + t = 0 + 3
t = 0 + 3

Combine like terms: 0 + 3 = 3
t = 3

Add '-1t' to each side of the equation.
t + -1t = 3 + -1t

Combine like terms: t + -1t = 0
0 = 3 + -1t

Simplifying
0 = 3 + -1t

The solution to this equation could not be determined.

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