3n^2=48n

Solution for 3n^2=48n equation:

Simplifying
3n2 = 48n

Solving
3n2 = 48n

Solving for variable 'n'.

Reorder the terms:
-48n + 3n2 = 48n + -48n

Combine like terms: 48n + -48n = 0
-48n + 3n2 = 0

Factor out the Greatest Common Factor (GCF), '3n'.
3n(-16 + n) = 0

Ignore the factor 3.
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 '(-16 + n)' equal to zero and attempt to solve:

Simplifying
-16 + n = 0

Solving
-16 + n = 0

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

Add '16' to each side of the equation.
-16 + 16 + n = 0 + 16

Combine like terms: -16 + 16 = 0
0 + n = 0 + 16
n = 0 + 16

Combine like terms: 0 + 16 = 16
n = 16

Simplifying
n = 16
Solution
n = {0, 16}