n*n=2n

Solution for n*n=2n equation:

Simplifying
n * n = 2n

Multiply n * n
n2 = 2n

Solving
n2 = 2n

Solving for variable 'n'.

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

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

Factor out the Greatest Common Factor (GCF), 'n'.
n(-2 + 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 '(-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}