8n^2+1=705

Solution for 8n^2+1=705 equation:

Simplifying
8n2 + 1 = 705

Reorder the terms:
1 + 8n2 = 705

Solving
1 + 8n2 = 705

Solving for variable 'n'.

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

Add '-1' to each side of the equation.
1 + -1 + 8n2 = 705 + -1

Combine like terms: 1 + -1 = 0
0 + 8n2 = 705 + -1
8n2 = 705 + -1

Combine like terms: 705 + -1 = 704
8n2 = 704

Divide each side by '8'.
n2 = 88

Simplifying
n2 = 88

Take the square root of each side:
n = {-9.38083152, 9.38083152}