T(n)=n^2

Solution for T(n)=n^2 equation:

Simplifying
T(n) = n2

Multiply T * n
nT = n2

Solving
nT = n2

Solving for variable 'n'.

Combine like terms: n2 + -1n2 = 0
nT + -1n2 = 0

Factor out the Greatest Common Factor (GCF), 'n'.
n(T + -1n) = 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 + -1n)' equal to zero and attempt to solve:

Simplifying
T + -1n = 0

Solving
T + -1n = 0

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

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

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

Divide each side by '-1'.
n = T

Simplifying
n = T
Solution
n = {0, T}