48n^2=6n

Solution for 48n^2=6n equation:

Simplifying
48n2 = 6n

Solving
48n2 = 6n

Solving for variable 'n'.

Reorder the terms:
-6n + 48n2 = 6n + -6n

Combine like terms: 6n + -6n = 0
-6n + 48n2 = 0

Factor out the Greatest Common Factor (GCF), '6n'.
6n(-1 + 8n) = 0

Ignore the factor 6.
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 '(-1 + 8n)' equal to zero and attempt to solve:

Simplifying
-1 + 8n = 0

Solving
-1 + 8n = 0

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

Add '1' to each side of the equation.
-1 + 1 + 8n = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 8n = 0 + 1
8n = 0 + 1

Combine like terms: 0 + 1 = 1
8n = 1

Divide each side by '8'.
n = 0.125

Simplifying
n = 0.125
Solution
n = {0, 0.125}