2n^2-46n=0

Solution for 2n^2-46n=0 equation:

Simplifying
2n2 + -46n = 0

Reorder the terms:
-46n + 2n2 = 0

Solving
-46n + 2n2 = 0

Solving for variable 'n'.

Factor out the Greatest Common Factor (GCF), '2n'.
2n(-23 + 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 '(-23 + n)' equal to zero and attempt to solve:

Simplifying
-23 + n = 0

Solving
-23 + n = 0

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

Add '23' to each side of the equation.
-23 + 23 + n = 0 + 23

Combine like terms: -23 + 23 = 0
0 + n = 0 + 23
n = 0 + 23

Combine like terms: 0 + 23 = 23
n = 23

Simplifying
n = 23
Solution
n = {0, 23}