2n(3n+4n-2)=

Solution for 2n(3n+4n-2)= equation:

Simplifying
2n(3n + 4n + -2) = 0

Reorder the terms:
2n(-2 + 3n + 4n) = 0

Combine like terms: 3n + 4n = 7n
2n(-2 + 7n) = 0
(-2 * 2n + 7n * 2n) = 0
(-4n + 14n2) = 0

Solving
-4n + 14n2 = 0

Solving for variable 'n'.

Factor out the Greatest Common Factor (GCF), '2n'.
2n(-2 + 7n) = 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 '(-2 + 7n)' equal to zero and attempt to solve:

Simplifying
-2 + 7n = 0

Solving
-2 + 7n = 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 + 7n = 0 + 2

Combine like terms: -2 + 2 = 0
0 + 7n = 0 + 2
7n = 0 + 2

Combine like terms: 0 + 2 = 2
7n = 2

Divide each side by '7'.
n = 0.2857142857

Simplifying
n = 0.2857142857
Solution
n = {0, 0.2857142857}