196n^2+644n=0

Solution for 196n^2+644n=0 equation:

Simplifying
196n2 + 644n = 0

Reorder the terms:
644n + 196n2 = 0

Solving
644n + 196n2 = 0

Solving for variable 'n'.

Factor out the Greatest Common Factor (GCF), '28n'.
28n(23 + 7n) = 0

Ignore the factor 28.
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 '(23 + 7n)' equal to zero and attempt to solve:

Simplifying
23 + 7n = 0

Solving
23 + 7n = 0

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

Add '-23' to each side of the equation.
23 + -23 + 7n = 0 + -23

Combine like terms: 23 + -23 = 0
0 + 7n = 0 + -23
7n = 0 + -23

Combine like terms: 0 + -23 = -23
7n = -23

Divide each side by '7'.
n = -3.285714286

Simplifying
n = -3.285714286
Solution
n = {0, -3.285714286}