-2n[5+n-8-3n]=

Solution for -2n[5+n-8-3n]= equation:

Simplifying
-2n[5 + n + -8 + -3n] = 0

Reorder the terms:
-2n[5 + -8 + n + -3n] = 0

Combine like terms: 5 + -8 = -3
-2n[-3 + n + -3n] = 0

Combine like terms: n + -3n = -2n
-2n[-3 + -2n] = 0
[-3 * -2n + -2n * -2n] = 0
[6n + 4n2] = 0

Solving
6n + 4n2 = 0

Solving for variable 'n'.

Factor out the Greatest Common Factor (GCF), '2n'.
2n(3 + 2n) = 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 '(3 + 2n)' equal to zero and attempt to solve:

Simplifying
3 + 2n = 0

Solving
3 + 2n = 0

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

Add '-3' to each side of the equation.
3 + -3 + 2n = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 2n = 0 + -3
2n = 0 + -3

Combine like terms: 0 + -3 = -3
2n = -3

Divide each side by '2'.
n = -1.5

Simplifying
n = -1.5
Solution
n = {0, -1.5}