8n*2n-6=34

Solution for 8n*2n-6=34 equation:

Simplifying
8n * 2n + -6 = 34

Reorder the terms for easier multiplication:
8 * 2n * n + -6 = 34

Multiply 8 * 2
16n * n + -6 = 34

Multiply n * n
16n2 + -6 = 34

Reorder the terms:
-6 + 16n2 = 34

Solving
-6 + 16n2 = 34

Solving for variable 'n'.

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

Add '6' to each side of the equation.
-6 + 6 + 16n2 = 34 + 6

Combine like terms: -6 + 6 = 0
0 + 16n2 = 34 + 6
16n2 = 34 + 6

Combine like terms: 34 + 6 = 40
16n2 = 40

Divide each side by '16'.
n2 = 2.5

Simplifying
n2 = 2.5

Take the square root of each side:
n = {-1.58113883, 1.58113883}