39n^2+18n=0

Solution for 39n^2+18n=0 equation:

Simplifying
39n2 + 18n = 0

Reorder the terms:
18n + 39n2 = 0

Solving
18n + 39n2 = 0

Solving for variable 'n'.

Factor out the Greatest Common Factor (GCF), '3n'.
3n(6 + 13n) = 0

Ignore the factor 3.
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 '(6 + 13n)' equal to zero and attempt to solve:

Simplifying
6 + 13n = 0

Solving
6 + 13n = 0

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

Add '-6' to each side of the equation.
6 + -6 + 13n = 0 + -6

Combine like terms: 6 + -6 = 0
0 + 13n = 0 + -6
13n = 0 + -6

Combine like terms: 0 + -6 = -6
13n = -6

Divide each side by '13'.
n = -0.4615384615

Simplifying
n = -0.4615384615
Solution
n = {0, -0.4615384615}