5n^2=20n

Solution for 5n^2=20n equation:

Simplifying
5n2 = 20n

Solving
5n2 = 20n

Solving for variable 'n'.

Reorder the terms:
-20n + 5n2 = 20n + -20n

Combine like terms: 20n + -20n = 0
-20n + 5n2 = 0

Factor out the Greatest Common Factor (GCF), '5n'.
5n(-4 + n) = 0

Ignore the factor 5.
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 + n)' equal to zero and attempt to solve:

Simplifying
-4 + n = 0

Solving
-4 + n = 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 + n = 0 + 4

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

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

Simplifying
n = 4
Solution
n = {0, 4}