T(n)=4n+5isO(n)

Solution for T(n)=4n+5isO(n) equation:

Simplifying
T(n) = 4n + 5isO(n)

Multiply T * n
nT = 4n + 5isO(n)

Multiply isO * n
nT = 4n + 5insO

Reorder the terms:
nT = 5insO + 4n

Solving
nT = 5insO + 4n

Solving for variable 'n'.

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

Add '-5insO' to each side of the equation.
-5insO + nT = 5insO + -5insO + 4n

Combine like terms: 5insO + -5insO = 0
-5insO + nT = 0 + 4n
-5insO + nT = 4n

Add '-4n' to each side of the equation.
-5insO + -4n + nT = 4n + -4n

Combine like terms: 4n + -4n = 0
-5insO + -4n + nT = 0

Factor out the Greatest Common Factor (GCF), 'n'.
n(-5isO + -4 + 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 '(-5isO + -4 + T)' equal to zero and attempt to solve:

Simplifying
-5isO + -4 + T = 0

Reorder the terms:
-4 + T + -5isO = 0

Solving
-4 + T + -5isO = 0

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

Add '4' to each side of the equation.
-4 + T + 4 + -5isO = 0 + 4

Reorder the terms:
-4 + 4 + T + -5isO = 0 + 4

Combine like terms: -4 + 4 = 0
0 + T + -5isO = 0 + 4
T + -5isO = 0 + 4

Combine like terms: 0 + 4 = 4
T + -5isO = 4

Add '-1T' to each side of the equation.
T + -1T + -5isO = 4 + -1T

Combine like terms: T + -1T = 0
0 + -5isO = 4 + -1T
-5isO = 4 + -1T

Add '5isO' to each side of the equation.
-5isO + 5isO = 4 + -1T + 5isO

Combine like terms: -5isO + 5isO = 0
0 = 4 + -1T + 5isO

Simplifying
0 = 4 + -1T + 5isO

The solution to this equation could not be determined.

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