-8n*4n=6n

Solution for -8n*4n=6n equation:

Simplifying
-8n * 4n = 6n

Reorder the terms for easier multiplication:
-8 * 4n * n = 6n

Multiply -8 * 4
-32n * n = 6n

Multiply n * n
-32n2 = 6n

Solving
-32n2 = 6n

Solving for variable 'n'.

Reorder the terms:
-6n + -32n2 = 6n + -6n

Combine like terms: 6n + -6n = 0
-6n + -32n2 = 0

Factor out the Greatest Common Factor (GCF), '-2n'.
-2n(3 + 16n) = 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 + 16n)' equal to zero and attempt to solve:

Simplifying
3 + 16n = 0

Solving
3 + 16n = 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 + 16n = 0 + -3

Combine like terms: 3 + -3 = 0
0 + 16n = 0 + -3
16n = 0 + -3

Combine like terms: 0 + -3 = -3
16n = -3

Divide each side by '16'.
n = -0.1875

Simplifying
n = -0.1875
Solution
n = {0, -0.1875}