(2n)(4n+2)=

Solution for (2n)(4n+2)= equation:

Simplifying
(2n)(4n + 2) = 0

Remove parenthesis around (2n)
2n(4n + 2) = 0

Reorder the terms:
2n(2 + 4n) = 0
(2 * 2n + 4n * 2n) = 0
(4n + 8n2) = 0

Solving
4n + 8n2 = 0

Solving for variable 'n'.

Factor out the Greatest Common Factor (GCF), '4n'.
4n(1 + 2n) = 0

Ignore the factor 4.
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}