t(n)=2nSquared+n

Solution for t(n)=2nSquared+n equation:

Simplifying
t(n) = 2nSquared + n

Multiply t * n
nt = 2nSquared + n

Solving
nt = 2adenqruS + n

Solving for variable 'n'.

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

Add '-2adenqruS' to each side of the equation.
-2adenqruS + nt = 2adenqruS + -2adenqruS + n

Combine like terms: 2adenqruS + -2adenqruS = 0
-2adenqruS + nt = 0 + n
-2adenqruS + nt = n

Add '-1n' to each side of the equation.
-2adenqruS + -1n + nt = n + -1n

Combine like terms: n + -1n = 0
-2adenqruS + -1n + nt = 0

Factor out the Greatest Common Factor (GCF), 'n'.
n(-2adeqruS + -1 + 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 '(-2adeqruS + -1 + t)' equal to zero and attempt to solve:

Simplifying
-2adeqruS + -1 + t = 0

Reorder the terms:
-1 + -2adeqruS + t = 0

Solving
-1 + -2adeqruS + t = 0

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

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

Reorder the terms:
-1 + 1 + -2adeqruS + t = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -2adeqruS + t = 0 + 1
-2adeqruS + t = 0 + 1

Combine like terms: 0 + 1 = 1
-2adeqruS + t = 1

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

Combine like terms: -2adeqruS + 2adeqruS = 0
0 + t = 1 + 2adeqruS
t = 1 + 2adeqruS

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

Combine like terms: t + -1t = 0
0 = 1 + 2adeqruS + -1t

Simplifying
0 = 1 + 2adeqruS + -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}