30n^2=8n

Solution for 30n^2=8n equation:

Simplifying
30n2 = 8n

Solving
30n2 = 8n

Solving for variable 'n'.

Reorder the terms:
-8n + 30n2 = 8n + -8n

Combine like terms: 8n + -8n = 0
-8n + 30n2 = 0

Factor out the Greatest Common Factor (GCF), '2n'.
2n(-4 + 15n) = 0

Ignore the factor 2.
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 '(-4 + 15n)' equal to zero and attempt to solve:

Simplifying
-4 + 15n = 0

Solving
-4 + 15n = 0

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

Add '4' to each side of the equation.
-4 + 4 + 15n = 0 + 4

Combine like terms: -4 + 4 = 0
0 + 15n = 0 + 4
15n = 0 + 4

Combine like terms: 0 + 4 = 4
15n = 4

Divide each side by '15'.
n = 0.2666666667

Simplifying
n = 0.2666666667
Solution
n = {0, 0.2666666667}