77n^2+14n=0

Solution for 77n^2+14n=0 equation:

Simplifying
77n2 + 14n = 0

Reorder the terms:
14n + 77n2 = 0

Solving
14n + 77n2 = 0

Solving for variable 'n'.

Factor out the Greatest Common Factor (GCF), '7n'.
7n(2 + 11n) = 0

Ignore the factor 7.
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 + 11n)' equal to zero and attempt to solve:

Simplifying
2 + 11n = 0

Solving
2 + 11n = 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 + 11n = 0 + -2

Combine like terms: 2 + -2 = 0
0 + 11n = 0 + -2
11n = 0 + -2

Combine like terms: 0 + -2 = -2
11n = -2

Divide each side by '11'.
n = -0.1818181818

Simplifying
n = -0.1818181818
Solution
n = {0, -0.1818181818}