300n=n^2

Solution for 300n=n^2 equation:

Simplifying
300n = n2

Solving
300n = n2

Solving for variable 'n'.

Combine like terms: n2 + -1n2 = 0
300n + -1n2 = 0

Factor out the Greatest Common Factor (GCF), 'n'.
n(300 + -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 '(300 + -1n)' equal to zero and attempt to solve:

Simplifying
300 + -1n = 0

Solving
300 + -1n = 0

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

Add '-300' to each side of the equation.
300 + -300 + -1n = 0 + -300

Combine like terms: 300 + -300 = 0
0 + -1n = 0 + -300
-1n = 0 + -300

Combine like terms: 0 + -300 = -300
-1n = -300

Divide each side by '-1'.
n = 300

Simplifying
n = 300
Solution
n = {0, 300}