100n+n=O(n^2)

Solution for 100n+n=O(n^2) equation:

Simplifying
100n + n = O(n2)

Combine like terms: 100n + n = 101n
101n = O(n2)

Multiply O * n2
101n = n2O

Solving
101n = n2O

Solving for variable 'n'.

Combine like terms: n2O + -1n2O = 0
101n + -1n2O = 0

Factor out the Greatest Common Factor (GCF), 'n'.
n(101 + -1nO) = 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 '(101 + -1nO)' equal to zero and attempt to solve:

Simplifying
101 + -1nO = 0

Solving
101 + -1nO = 0

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

Add '-101' to each side of the equation.
101 + -101 + -1nO = 0 + -101

Combine like terms: 101 + -101 = 0
0 + -1nO = 0 + -101
-1nO = 0 + -101

Combine like terms: 0 + -101 = -101
-1nO = -101

Divide each side by '-1O'.
n = 101O-1

Simplifying
n = 101O-1
Solution
n = {0, 101O-1}