n(n-2)=2n

Solution for n(n-2)=2n equation:

Simplifying
n(n + -2) = 2n

Reorder the terms:
n(-2 + n) = 2n
(-2 * n + n * n) = 2n
(-2n + n2) = 2n

Solving
-2n + n2 = 2n

Solving for variable 'n'.

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

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

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

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

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}