-n(2n*n-8n)=

Solution for -n(2n*n-8n)= equation:

Simplifying
-1n(2n * n + -8n) = 0

Multiply n * n
-1n(2n2 + -8n) = 0

Reorder the terms:
-1n(-8n + 2n2) = 0
(-8n * -1n + 2n2 * -1n) = 0
(8n2 + -2n3) = 0

Solving
8n2 + -2n3 = 0

Solving for variable 'n'.

Factor out the Greatest Common Factor (GCF), '2n2'.
2n2(4 + -1n) = 0

Ignore the factor 2.
Subproblem 1
Set the factor 'n2' equal to zero and attempt to solve:

Simplifying
n2 = 0

Solving
n2 = 0

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

Simplifying
n2 = 0

Take the square root of each side:
n = {0}
Subproblem 2
Set the factor '(4 + -1n)' equal to zero and attempt to solve:

Simplifying
4 + -1n = 0

Solving
4 + -1n = 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 + -1n = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -1n = 0 + -4
-1n = 0 + -4

Combine like terms: 0 + -4 = -4
-1n = -4

Divide each side by '-1'.
n = 4

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