2n^2=-8n

Solution for 2n^2=-8n equation:

Simplifying
2n2 = -8n

Solving
2n2 = -8n

Solving for variable 'n'.

Reorder the terms:
8n + 2n2 = -8n + 8n

Combine like terms: -8n + 8n = 0
8n + 2n2 = 0

Factor out the Greatest Common Factor (GCF), '2n'.
2n(4 + n) = 0

Ignore the factor 2.
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 '(4 + n)' equal to zero and attempt to solve:

Simplifying
4 + n = 0

Solving
4 + n = 0

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

Add '-4' to each side of the equation.
4 + -4 + n = 0 + -4

Combine like terms: 4 + -4 = 0
0 + n = 0 + -4
n = 0 + -4

Combine like terms: 0 + -4 = -4
n = -4

Simplifying
n = -4
Solution
n = {0, -4}