10n^2=30n

Solution for 10n^2=30n equation:

Simplifying
10n2 = 30n

Solving
10n2 = 30n

Solving for variable 'n'.

Reorder the terms:
-30n + 10n2 = 30n + -30n

Combine like terms: 30n + -30n = 0
-30n + 10n2 = 0

Factor out the Greatest Common Factor (GCF), '10n'.
10n(-3 + n) = 0

Ignore the factor 10.
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 '(-3 + n)' equal to zero and attempt to solve:

Simplifying
-3 + n = 0

Solving
-3 + n = 0

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

Add '3' to each side of the equation.
-3 + 3 + n = 0 + 3

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

Combine like terms: 0 + 3 = 3
n = 3

Simplifying
n = 3
Solution
n = {0, 3}