2n^2=4n

Solution for 2n^2=4n equation:

Simplifying
2n2 = 4n

Solving
2n2 = 4n

Solving for variable 'n'.

Reorder the terms:
-4n + 2n2 = 4n + -4n

Combine like terms: 4n + -4n = 0
-4n + 2n2 = 0

Factor out the Greatest Common Factor (GCF), '2n'.
2n(-2 + n) = 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 '(-2 + n)' equal to zero and attempt to solve:

Simplifying
-2 + n = 0

Solving
-2 + n = 0

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

Add '2' to each side of the equation.
-2 + 2 + n = 0 + 2

Combine like terms: -2 + 2 = 0
0 + n = 0 + 2
n = 0 + 2

Combine like terms: 0 + 2 = 2
n = 2

Simplifying
n = 2
Solution
n = {0, 2}