5N(2N-1)=0

Solution for 5N(2N-1)=0 equation:

Simplifying
5N(2N + -1) = 0

Reorder the terms:
5N(-1 + 2N) = 0
(-1 * 5N + 2N * 5N) = 0
(-5N + 10N2) = 0

Solving
-5N + 10N2 = 0

Solving for variable 'N'.

Factor out the Greatest Common Factor (GCF), '5N'.
5N(-1 + 2N) = 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 '(-1 + 2N)' equal to zero and attempt to solve:

Simplifying
-1 + 2N = 0

Solving
-1 + 2N = 0

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

Add '1' to each side of the equation.
-1 + 1 + 2N = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 2N = 0 + 1
2N = 0 + 1

Combine like terms: 0 + 1 = 1
2N = 1

Divide each side by '2'.
N = 0.5

Simplifying
N = 0.5
Solution
N = {0, 0.5}