8n^2+n=0

Solution for 8n^2+n=0 equation:

Simplifying
8n2 + n = 0

Reorder the terms:
n + 8n2 = 0

Solving
n + 8n2 = 0

Solving for variable 'n'.

Factor out the Greatest Common Factor (GCF), 'n'.
n(1 + 8n) = 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 '(1 + 8n)' equal to zero and attempt to solve:

Simplifying
1 + 8n = 0

Solving
1 + 8n = 0

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

Add '-1' to each side of the equation.
1 + -1 + 8n = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 8n = 0 + -1
8n = 0 + -1

Combine like terms: 0 + -1 = -1
8n = -1

Divide each side by '8'.
n = -0.125

Simplifying
n = -0.125
Solution
n = {0, -0.125}