n^2+6n+8n=

Solution for n^2+6n+8n= equation:

Simplifying
n2 + 6n + 8n = 0

Reorder the terms:
6n + 8n + n2 = 0

Combine like terms: 6n + 8n = 14n
14n + n2 = 0

Solving
14n + n2 = 0

Solving for variable 'n'.

Factor out the Greatest Common Factor (GCF), 'n'.
n(14 + 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 '(14 + n)' equal to zero and attempt to solve:

Simplifying
14 + n = 0

Solving
14 + n = 0

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

Add '-14' to each side of the equation.
14 + -14 + n = 0 + -14

Combine like terms: 14 + -14 = 0
0 + n = 0 + -14
n = 0 + -14

Combine like terms: 0 + -14 = -14
n = -14

Simplifying
n = -14
Solution
n = {0, -14}